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Finding the Fourth Proportional to 472,432.85, 708,643.12 and 117,449.94

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Solution

The fourth proportional to 472,432.85, 708,643.12 and 117,449.94 is: 176,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,432.85 : 708,643.12 = 117,449.94 : x
  2. Step 2: Convert to fraction form
    472,432.85/708,643.12 = 117,449.94/x
  3. Step 3: Cross multiply
    472,432.85x = 708,643.12 × 117,449.94
  4. Step 4: Simplify right side
    472,432.85x = 83,230,091,631.79
  5. Step 5: Solve for x
    x = 83,230,091,631.79/472,432.85
  6. Step 6: Final answer
    x = 176,173.38

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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.