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Finding the Fourth Proportional to 526,966.38, 727,213.95 and 285,250.94

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Solution

The fourth proportional to 526,966.38, 727,213.95 and 285,250.94 is: 393,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,966.38 : 727,213.95 = 285,250.94 : x
  2. Step 2: Convert to fraction form
    526,966.38/727,213.95 = 285,250.94/x
  3. Step 3: Cross multiply
    526,966.38x = 727,213.95 × 285,250.94
  4. Step 4: Simplify right side
    526,966.38x = 207,438,463,954.89
  5. Step 5: Solve for x
    x = 207,438,463,954.89/526,966.38
  6. Step 6: Final answer
    x = 393,646.48

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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.