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Finding the Fourth Proportional to 602,970.12, 832,057.14 and 334,677

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Solution

The fourth proportional to 602,970.12, 832,057.14 and 334,677 is: 461,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,970.12 : 832,057.14 = 334,677 : x
  2. Step 2: Convert to fraction form
    602,970.12/832,057.14 = 334,677/x
  3. Step 3: Cross multiply
    602,970.12x = 832,057.14 × 334,677
  4. Step 4: Simplify right side
    602,970.12x = 278,470,387,443.78
  5. Step 5: Solve for x
    x = 278,470,387,443.78/602,970.12
  6. Step 6: Final answer
    x = 461,831.16

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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.