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Finding the Fourth Proportional to 472,630.93, 708,942.75 and 117,642.58

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Solution

The fourth proportional to 472,630.93, 708,942.75 and 117,642.58 is: 176,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,630.93 : 708,942.75 = 117,642.58 : x
  2. Step 2: Convert to fraction form
    472,630.93/708,942.75 = 117,642.58/x
  3. Step 3: Cross multiply
    472,630.93x = 708,942.75 × 117,642.58
  4. Step 4: Simplify right side
    472,630.93x = 83,401,854,182.30
  5. Step 5: Solve for x
    x = 83,401,854,182.30/472,630.93
  6. Step 6: Final answer
    x = 176,462.96

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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.