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Finding the Fourth Proportional to 497,714.42, 746,098.65 and 317,293.40

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Solution

The fourth proportional to 497,714.42, 746,098.65 and 317,293.40 is: 475,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,714.42 : 746,098.65 = 317,293.40 : x
  2. Step 2: Convert to fraction form
    497,714.42/746,098.65 = 317,293.40/x
  3. Step 3: Cross multiply
    497,714.42x = 746,098.65 × 317,293.40
  4. Step 4: Simplify right side
    497,714.42x = 236,732,179,259.16
  5. Step 5: Solve for x
    x = 236,732,179,259.16/497,714.42
  6. Step 6: Final answer
    x = 475,638.58

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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.