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Finding the Fourth Proportional to 498,187.70, 687,501.71 and 271,838.06

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Solution

The fourth proportional to 498,187.70, 687,501.71 and 271,838.06 is: 375,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,187.70 : 687,501.71 = 271,838.06 : x
  2. Step 2: Convert to fraction form
    498,187.70/687,501.71 = 271,838.06/x
  3. Step 3: Cross multiply
    498,187.70x = 687,501.71 × 271,838.06
  4. Step 4: Simplify right side
    498,187.70x = 186,889,126,296.38
  5. Step 5: Solve for x
    x = 186,889,126,296.38/498,187.70
  6. Step 6: Final answer
    x = 375,137.98

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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.