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Finding the Fourth Proportional to 652,088.10, 978,132.15 and 272,943.30

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Solution

The fourth proportional to 652,088.10, 978,132.15 and 272,943.30 is: 409,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,088.10 : 978,132.15 = 272,943.30 : x
  2. Step 2: Convert to fraction form
    652,088.10/978,132.15 = 272,943.30/x
  3. Step 3: Cross multiply
    652,088.10x = 978,132.15 × 272,943.30
  4. Step 4: Simplify right side
    652,088.10x = 266,974,616,857.10
  5. Step 5: Solve for x
    x = 266,974,616,857.10/652,088.10
  6. Step 6: Final answer
    x = 409,414.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.