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Finding the Fourth Proportional to 472,630.68, 708,942.36 and 117,642.33

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Solution

The fourth proportional to 472,630.68, 708,942.36 and 117,642.33 is: 176,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,630.68 : 708,942.36 = 117,642.33 : x
  2. Step 2: Convert to fraction form
    472,630.68/708,942.36 = 117,642.33/x
  3. Step 3: Cross multiply
    472,630.68x = 708,942.36 × 117,642.33
  4. Step 4: Simplify right side
    472,630.68x = 83,401,631,066.10
  5. Step 5: Solve for x
    x = 83,401,631,066.10/472,630.68
  6. Step 6: Final answer
    x = 176,462.58

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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.