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Finding the Fourth Proportional to 472,114.70, 708,381.27 and 247,421.66

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Solution

The fourth proportional to 472,114.70, 708,381.27 and 247,421.66 is: 371,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,114.70 : 708,381.27 = 247,421.66 : x
  2. Step 2: Convert to fraction form
    472,114.70/708,381.27 = 247,421.66/x
  3. Step 3: Cross multiply
    472,114.70x = 708,381.27 × 247,421.66
  4. Step 4: Simplify right side
    472,114.70x = 175,268,869,736.31
  5. Step 5: Solve for x
    x = 175,268,869,736.31/472,114.70
  6. Step 6: Final answer
    x = 371,242.14

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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.