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Finding the Fourth Proportional to 498,237, 687,581.64 and 271,897.08

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Solution

The fourth proportional to 498,237, 687,581.64 and 271,897.08 is: 375,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,237 : 687,581.64 = 271,897.08 : x
  2. Step 2: Convert to fraction form
    498,237/687,581.64 = 271,897.08/x
  3. Step 3: Cross multiply
    498,237x = 687,581.64 × 271,897.08
  4. Step 4: Simplify right side
    498,237x = 186,951,440,177.61
  5. Step 5: Solve for x
    x = 186,951,440,177.61/498,237
  6. Step 6: Final answer
    x = 375,225.93

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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.