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Finding the Fourth Proportional to 460,953.38, 636,069.31 and 256,985.26

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Solution

The fourth proportional to 460,953.38, 636,069.31 and 256,985.26 is: 354,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,953.38 : 636,069.31 = 256,985.26 : x
  2. Step 2: Convert to fraction form
    460,953.38/636,069.31 = 256,985.26/x
  3. Step 3: Cross multiply
    460,953.38x = 636,069.31 × 256,985.26
  4. Step 4: Simplify right side
    460,953.38x = 163,460,434,775.73
  5. Step 5: Solve for x
    x = 163,460,434,775.73/460,953.38
  6. Step 6: Final answer
    x = 354,613.81

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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.