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Finding the Fourth Proportional to 584,176.80, 819,028.50 and 584,176.80

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Solution

The fourth proportional to 584,176.80, 819,028.50 and 584,176.80 is: 819,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,176.80 : 819,028.50 = 584,176.80 : x
  2. Step 2: Convert to fraction form
    584,176.80/819,028.50 = 584,176.80/x
  3. Step 3: Cross multiply
    584,176.80x = 819,028.50 × 584,176.80
  4. Step 4: Simplify right side
    584,176.80x = 478,457,448,238.80
  5. Step 5: Solve for x
    x = 478,457,448,238.80/584,176.80
  6. Step 6: Final answer
    x = 819,028.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.