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Finding the Fourth Proportional to 460,491.12, 635,468.10 and 256,541.76

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Solution

The fourth proportional to 460,491.12, 635,468.10 and 256,541.76 is: 354,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,491.12 : 635,468.10 = 256,541.76 : x
  2. Step 2: Convert to fraction form
    460,491.12/635,468.10 = 256,541.76/x
  3. Step 3: Cross multiply
    460,491.12x = 635,468.10 × 256,541.76
  4. Step 4: Simplify right side
    460,491.12x = 163,024,104,797.86
  5. Step 5: Solve for x
    x = 163,024,104,797.86/460,491.12
  6. Step 6: Final answer
    x = 354,022.26

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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.