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Finding the Fourth Proportional to 457,818.16, 631,792.61 and 253,857.16

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Solution

The fourth proportional to 457,818.16, 631,792.61 and 253,857.16 is: 350,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,818.16 : 631,792.61 = 253,857.16 : x
  2. Step 2: Convert to fraction form
    457,818.16/631,792.61 = 253,857.16/x
  3. Step 3: Cross multiply
    457,818.16x = 631,792.61 × 253,857.16
  4. Step 4: Simplify right side
    457,818.16x = 160,385,077,683.59
  5. Step 5: Solve for x
    x = 160,385,077,683.59/457,818.16
  6. Step 6: Final answer
    x = 350,324.85

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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.