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Finding the Fourth Proportional to 261,959.93, 392,349.10 and 183,424.76

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Solution

The fourth proportional to 261,959.93, 392,349.10 and 183,424.76 is: 274,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,959.93 : 392,349.10 = 183,424.76 : x
  2. Step 2: Convert to fraction form
    261,959.93/392,349.10 = 183,424.76/x
  3. Step 3: Cross multiply
    261,959.93x = 392,349.10 × 183,424.76
  4. Step 4: Simplify right side
    261,959.93x = 71,966,539,503.72
  5. Step 5: Solve for x
    x = 71,966,539,503.72/261,959.93
  6. Step 6: Final answer
    x = 274,723.46

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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.