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Finding the Fourth Proportional to 461,100.42, 636,317.28 and 257,151.54

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Solution

The fourth proportional to 461,100.42, 636,317.28 and 257,151.54 is: 354,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,100.42 : 636,317.28 = 257,151.54 : x
  2. Step 2: Convert to fraction form
    461,100.42/636,317.28 = 257,151.54/x
  3. Step 3: Cross multiply
    461,100.42x = 636,317.28 × 257,151.54
  4. Step 4: Simplify right side
    461,100.42x = 163,629,968,480.61
  5. Step 5: Solve for x
    x = 163,629,968,480.61/461,100.42
  6. Step 6: Final answer
    x = 354,868.40

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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.