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Finding the Fourth Proportional to 477,499.08, 659,042.34 and 273,686.61

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Solution

The fourth proportional to 477,499.08, 659,042.34 and 273,686.61 is: 377,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,499.08 : 659,042.34 = 273,686.61 : x
  2. Step 2: Convert to fraction form
    477,499.08/659,042.34 = 273,686.61/x
  3. Step 3: Cross multiply
    477,499.08x = 659,042.34 × 273,686.61
  4. Step 4: Simplify right side
    477,499.08x = 180,371,059,217.42
  5. Step 5: Solve for x
    x = 180,371,059,217.42/477,499.08
  6. Step 6: Final answer
    x = 377,741.17

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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.