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Finding the Fourth Proportional to 385,823.68, 532,305.33 and 224,644.61

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Solution

The fourth proportional to 385,823.68, 532,305.33 and 224,644.61 is: 309,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,823.68 : 532,305.33 = 224,644.61 : x
  2. Step 2: Convert to fraction form
    385,823.68/532,305.33 = 224,644.61/x
  3. Step 3: Cross multiply
    385,823.68x = 532,305.33 × 224,644.61
  4. Step 4: Simplify right side
    385,823.68x = 119,579,523,258.77
  5. Step 5: Solve for x
    x = 119,579,523,258.77/385,823.68
  6. Step 6: Final answer
    x = 309,933.08

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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.