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Finding the Fourth Proportional to 461,462.97, 636,817.71 and 257,511.76

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Solution

The fourth proportional to 461,462.97, 636,817.71 and 257,511.76 is: 355,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.97 : 636,817.71 = 257,511.76 : x
  2. Step 2: Convert to fraction form
    461,462.97/636,817.71 = 257,511.76/x
  3. Step 3: Cross multiply
    461,462.97x = 636,817.71 × 257,511.76
  4. Step 4: Simplify right side
    461,462.97x = 163,988,048,674.89
  5. Step 5: Solve for x
    x = 163,988,048,674.89/461,462.97
  6. Step 6: Final answer
    x = 355,365.56

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1.5x scale

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.