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Finding the Fourth Proportional to 602,972.12, 832,059.90 and 334,679

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Solution

The fourth proportional to 602,972.12, 832,059.90 and 334,679 is: 461,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,972.12 : 832,059.90 = 334,679 : x
  2. Step 2: Convert to fraction form
    602,972.12/832,059.90 = 334,679/x
  3. Step 3: Cross multiply
    602,972.12x = 832,059.90 × 334,679
  4. Step 4: Simplify right side
    602,972.12x = 278,472,975,272.10
  5. Step 5: Solve for x
    x = 278,472,975,272.10/602,972.12
  6. Step 6: Final answer
    x = 461,833.92

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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.