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Finding the Fourth Proportional to 385,821.68, 532,302.57 and 224,642.61

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Solution

The fourth proportional to 385,821.68, 532,302.57 and 224,642.61 is: 309,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,821.68 : 532,302.57 = 224,642.61 : x
  2. Step 2: Convert to fraction form
    385,821.68/532,302.57 = 224,642.61/x
  3. Step 3: Cross multiply
    385,821.68x = 532,302.57 × 224,642.61
  4. Step 4: Simplify right side
    385,821.68x = 119,577,838,634.51
  5. Step 5: Solve for x
    x = 119,577,838,634.51/385,821.68
  6. Step 6: Final answer
    x = 309,930.33

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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.