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Finding the Fourth Proportional to 524,388.32, 724,368.23 and 411,097.28

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Solution

The fourth proportional to 524,388.32, 724,368.23 and 411,097.28 is: 567,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,388.32 : 724,368.23 = 411,097.28 : x
  2. Step 2: Convert to fraction form
    524,388.32/724,368.23 = 411,097.28/x
  3. Step 3: Cross multiply
    524,388.32x = 724,368.23 × 411,097.28
  4. Step 4: Simplify right side
    524,388.32x = 297,785,809,891.35
  5. Step 5: Solve for x
    x = 297,785,809,891.35/524,388.32
  6. Step 6: Final answer
    x = 567,872.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.