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Finding the Fourth Proportional to 460,488.42, 635,474.42 and 256,539.86

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Solution

The fourth proportional to 460,488.42, 635,474.42 and 256,539.86 is: 354,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,488.42 : 635,474.42 = 256,539.86 : x
  2. Step 2: Convert to fraction form
    460,488.42/635,474.42 = 256,539.86/x
  3. Step 3: Cross multiply
    460,488.42x = 635,474.42 × 256,539.86
  4. Step 4: Simplify right side
    460,488.42x = 163,024,514,280.31
  5. Step 5: Solve for x
    x = 163,024,514,280.31/460,488.42
  6. Step 6: Final answer
    x = 354,025.22

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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.