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Finding the Fourth Proportional to 497,587.61, 686,454.66 and 316,202.42

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Solution

The fourth proportional to 497,587.61, 686,454.66 and 316,202.42 is: 436,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,587.61 : 686,454.66 = 316,202.42 : x
  2. Step 2: Convert to fraction form
    497,587.61/686,454.66 = 316,202.42/x
  3. Step 3: Cross multiply
    497,587.61x = 686,454.66 × 316,202.42
  4. Step 4: Simplify right side
    497,587.61x = 217,058,621,280.00
  5. Step 5: Solve for x
    x = 217,058,621,280.00/497,587.61
  6. Step 6: Final answer
    x = 436,221.92

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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.