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Finding the Fourth Proportional to 385,904.74, 532,614.45 and 224,855.23

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Solution

The fourth proportional to 385,904.74, 532,614.45 and 224,855.23 is: 310,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,904.74 : 532,614.45 = 224,855.23 : x
  2. Step 2: Convert to fraction form
    385,904.74/532,614.45 = 224,855.23/x
  3. Step 3: Cross multiply
    385,904.74x = 532,614.45 × 224,855.23
  4. Step 4: Simplify right side
    385,904.74x = 119,761,144,656.07
  5. Step 5: Solve for x
    x = 119,761,144,656.07/385,904.74
  6. Step 6: Final answer
    x = 310,338.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.