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Finding the Fourth Proportional to 451,710.42, 676,381.95 and 317,866.02

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Solution

The fourth proportional to 451,710.42, 676,381.95 and 317,866.02 is: 475,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,710.42 : 676,381.95 = 317,866.02 : x
  2. Step 2: Convert to fraction form
    451,710.42/676,381.95 = 317,866.02/x
  3. Step 3: Cross multiply
    451,710.42x = 676,381.95 × 317,866.02
  4. Step 4: Simplify right side
    451,710.42x = 214,998,838,446.34
  5. Step 5: Solve for x
    x = 214,998,838,446.34/451,710.42
  6. Step 6: Final answer
    x = 475,966.08

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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.