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Finding the Fourth Proportional to 523,953.16, 785,272.56 and 224,081.71

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Solution

The fourth proportional to 523,953.16, 785,272.56 and 224,081.71 is: 335,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,953.16 : 785,272.56 = 224,081.71 : x
  2. Step 2: Convert to fraction form
    523,953.16/785,272.56 = 224,081.71/x
  3. Step 3: Cross multiply
    523,953.16x = 785,272.56 × 224,081.71
  4. Step 4: Simplify right side
    523,953.16x = 175,965,218,060.88
  5. Step 5: Solve for x
    x = 175,965,218,060.88/523,953.16
  6. Step 6: Final answer
    x = 335,841.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.