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Finding the Fourth Proportional to 472,254.40, 651,711.32 and 268,305.68

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Solution

The fourth proportional to 472,254.40, 651,711.32 and 268,305.68 is: 370,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,254.40 : 651,711.32 = 268,305.68 : x
  2. Step 2: Convert to fraction form
    472,254.40/651,711.32 = 268,305.68/x
  3. Step 3: Cross multiply
    472,254.40x = 651,711.32 × 268,305.68
  4. Step 4: Simplify right side
    472,254.40x = 174,857,847,223.20
  5. Step 5: Solve for x
    x = 174,857,847,223.20/472,254.40
  6. Step 6: Final answer
    x = 370,261.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.