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Finding the Fourth Proportional to 342,002.47, 471,955.17 and 186,946.87

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Solution

The fourth proportional to 342,002.47, 471,955.17 and 186,946.87 is: 257,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.47 : 471,955.17 = 186,946.87 : x
  2. Step 2: Convert to fraction form
    342,002.47/471,955.17 = 186,946.87/x
  3. Step 3: Cross multiply
    342,002.47x = 471,955.17 × 186,946.87
  4. Step 4: Simplify right side
    342,002.47x = 88,230,541,811.82
  5. Step 5: Solve for x
    x = 88,230,541,811.82/342,002.47
  6. Step 6: Final answer
    x = 257,982.18

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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.