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Finding the Fourth Proportional to 601,897.57, 902,583.88 and 227,658.13

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Solution

The fourth proportional to 601,897.57, 902,583.88 and 227,658.13 is: 341,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.57 : 902,583.88 = 227,658.13 : x
  2. Step 2: Convert to fraction form
    601,897.57/902,583.88 = 227,658.13/x
  3. Step 3: Cross multiply
    601,897.57x = 902,583.88 × 227,658.13
  4. Step 4: Simplify right side
    601,897.57x = 205,480,555,463.34
  5. Step 5: Solve for x
    x = 205,480,555,463.34/601,897.57
  6. Step 6: Final answer
    x = 341,387.91

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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.