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Finding the Fourth Proportional to 584,190.30, 819,047.40 and 584,190.30

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Solution

The fourth proportional to 584,190.30, 819,047.40 and 584,190.30 is: 819,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,190.30 : 819,047.40 = 584,190.30 : x
  2. Step 2: Convert to fraction form
    584,190.30/819,047.40 = 584,190.30/x
  3. Step 3: Cross multiply
    584,190.30x = 819,047.40 × 584,190.30
  4. Step 4: Simplify right side
    584,190.30x = 478,479,546,320.22
  5. Step 5: Solve for x
    x = 478,479,546,320.22/584,190.30
  6. Step 6: Final answer
    x = 819,047.40

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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.