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Finding the Fourth Proportional to 472,505.94, 708,761.49 and 117,519.98

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Solution

The fourth proportional to 472,505.94, 708,761.49 and 117,519.98 is: 176,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,505.94 : 708,761.49 = 117,519.98 : x
  2. Step 2: Convert to fraction form
    472,505.94/708,761.49 = 117,519.98/x
  3. Step 3: Cross multiply
    472,505.94x = 708,761.49 × 117,519.98
  4. Step 4: Simplify right side
    472,505.94x = 83,293,632,585.76
  5. Step 5: Solve for x
    x = 83,293,632,585.76/472,505.94
  6. Step 6: Final answer
    x = 176,280.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.