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Finding the Fourth Proportional to 491,817, 736,582.17 and 474,769.68

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Solution

The fourth proportional to 491,817, 736,582.17 and 474,769.68 is: 711,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,817 : 736,582.17 = 474,769.68 : x
  2. Step 2: Convert to fraction form
    491,817/736,582.17 = 474,769.68/x
  3. Step 3: Cross multiply
    491,817x = 736,582.17 × 474,769.68
  4. Step 4: Simplify right side
    491,817x = 349,706,881,144.61
  5. Step 5: Solve for x
    x = 349,706,881,144.61/491,817
  6. Step 6: Final answer
    x = 711,050.82

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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.