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Finding the Fourth Proportional to 385,921.34, 532,573.08 and 224,886.86

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Solution

The fourth proportional to 385,921.34, 532,573.08 and 224,886.86 is: 310,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,921.34 : 532,573.08 = 224,886.86 : x
  2. Step 2: Convert to fraction form
    385,921.34/532,573.08 = 224,886.86/x
  3. Step 3: Cross multiply
    385,921.34x = 532,573.08 × 224,886.86
  4. Step 4: Simplify right side
    385,921.34x = 119,768,687,681.73
  5. Step 5: Solve for x
    x = 119,768,687,681.73/385,921.34
  6. Step 6: Final answer
    x = 310,344.82

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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.