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Finding the Fourth Proportional to 463,654.26, 640,062.04 and 310,792.32

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Solution

The fourth proportional to 463,654.26, 640,062.04 and 310,792.32 is: 429,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,654.26 : 640,062.04 = 310,792.32 : x
  2. Step 2: Convert to fraction form
    463,654.26/640,062.04 = 310,792.32/x
  3. Step 3: Cross multiply
    463,654.26x = 640,062.04 × 310,792.32
  4. Step 4: Simplify right side
    463,654.26x = 198,926,366,355.53
  5. Step 5: Solve for x
    x = 198,926,366,355.53/463,654.26
  6. Step 6: Final answer
    x = 429,040.31

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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.