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Finding the Fourth Proportional to 472,630.43, 708,942 and 117,642.08

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Solution

The fourth proportional to 472,630.43, 708,942 and 117,642.08 is: 176,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,630.43 : 708,942 = 117,642.08 : x
  2. Step 2: Convert to fraction form
    472,630.43/708,942 = 117,642.08/x
  3. Step 3: Cross multiply
    472,630.43x = 708,942 × 117,642.08
  4. Step 4: Simplify right side
    472,630.43x = 83,401,411,479.36
  5. Step 5: Solve for x
    x = 83,401,411,479.36/472,630.43
  6. Step 6: Final answer
    x = 176,462.21

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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.