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Finding the Fourth Proportional to 602,714.92, 904,326 and 375,200.98

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Solution

The fourth proportional to 602,714.92, 904,326 and 375,200.98 is: 562,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,714.92 : 904,326 = 375,200.98 : x
  2. Step 2: Convert to fraction form
    602,714.92/904,326 = 375,200.98/x
  3. Step 3: Cross multiply
    602,714.92x = 904,326 × 375,200.98
  4. Step 4: Simplify right side
    602,714.92x = 339,304,001,439.48
  5. Step 5: Solve for x
    x = 339,304,001,439.48/602,714.92
  6. Step 6: Final answer
    x = 562,959.35

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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.