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Finding the Fourth Proportional to 472,629.84, 708,941.11 and 117,641.46

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Solution

The fourth proportional to 472,629.84, 708,941.11 and 117,641.46 is: 176,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,629.84 : 708,941.11 = 117,641.46 : x
  2. Step 2: Convert to fraction form
    472,629.84/708,941.11 = 117,641.46/x
  3. Step 3: Cross multiply
    472,629.84x = 708,941.11 × 117,641.46
  4. Step 4: Simplify right side
    472,629.84x = 83,400,869,819.42
  5. Step 5: Solve for x
    x = 83,400,869,819.42/472,629.84
  6. Step 6: Final answer
    x = 176,461.29

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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.