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Finding the Fourth Proportional to 468,432, 702,646.68 and 361,970.88

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Solution

The fourth proportional to 468,432, 702,646.68 and 361,970.88 is: 542,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,432 : 702,646.68 = 361,970.88 : x
  2. Step 2: Convert to fraction form
    468,432/702,646.68 = 361,970.88/x
  3. Step 3: Cross multiply
    468,432x = 702,646.68 × 361,970.88
  4. Step 4: Simplify right side
    468,432x = 254,337,637,088.68
  5. Step 5: Solve for x
    x = 254,337,637,088.68/468,432
  6. Step 6: Final answer
    x = 542,955.30

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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.