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Finding the Fourth Proportional to 283,463.38, 391,166.50 and 162,597.06

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Solution

The fourth proportional to 283,463.38, 391,166.50 and 162,597.06 is: 224,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,463.38 : 391,166.50 = 162,597.06 : x
  2. Step 2: Convert to fraction form
    283,463.38/391,166.50 = 162,597.06/x
  3. Step 3: Cross multiply
    283,463.38x = 391,166.50 × 162,597.06
  4. Step 4: Simplify right side
    283,463.38x = 63,602,522,870.49
  5. Step 5: Solve for x
    x = 63,602,522,870.49/283,463.38
  6. Step 6: Final answer
    x = 224,376.51

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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.