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Finding the Fourth Proportional to 519,415.20, 729,280.80 and 519,415.20

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Solution

The fourth proportional to 519,415.20, 729,280.80 and 519,415.20 is: 729,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,415.20 : 729,280.80 = 519,415.20 : x
  2. Step 2: Convert to fraction form
    519,415.20/729,280.80 = 519,415.20/x
  3. Step 3: Cross multiply
    519,415.20x = 729,280.80 × 519,415.20
  4. Step 4: Simplify right side
    519,415.20x = 378,799,532,588.16
  5. Step 5: Solve for x
    x = 378,799,532,588.16/519,415.20
  6. Step 6: Final answer
    x = 729,280.80

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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.