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Finding the Fourth Proportional to 523,875.47, 785,791.29 and 149,898.47

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Solution

The fourth proportional to 523,875.47, 785,791.29 and 149,898.47 is: 224,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,875.47 : 785,791.29 = 149,898.47 : x
  2. Step 2: Convert to fraction form
    523,875.47/785,791.29 = 149,898.47/x
  3. Step 3: Cross multiply
    523,875.47x = 785,791.29 × 149,898.47
  4. Step 4: Simplify right side
    523,875.47x = 117,788,908,743.49
  5. Step 5: Solve for x
    x = 117,788,908,743.49/523,875.47
  6. Step 6: Final answer
    x = 224,841.43

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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.