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Finding the Fourth Proportional to 497,656.35, 746,484.53 and 272,929.95

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Solution

The fourth proportional to 497,656.35, 746,484.53 and 272,929.95 is: 409,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,656.35 : 746,484.53 = 272,929.95 : x
  2. Step 2: Convert to fraction form
    497,656.35/746,484.53 = 272,929.95/x
  3. Step 3: Cross multiply
    497,656.35x = 746,484.53 × 272,929.95
  4. Step 4: Simplify right side
    497,656.35x = 203,737,984,084.02
  5. Step 5: Solve for x
    x = 203,737,984,084.02/497,656.35
  6. Step 6: Final answer
    x = 409,394.93

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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.