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Finding the Fourth Proportional to 460,753.10, 635,842.40 and 256,817.14

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Solution

The fourth proportional to 460,753.10, 635,842.40 and 256,817.14 is: 354,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,753.10 : 635,842.40 = 256,817.14 : x
  2. Step 2: Convert to fraction form
    460,753.10/635,842.40 = 256,817.14/x
  3. Step 3: Cross multiply
    460,753.10x = 635,842.40 × 256,817.14
  4. Step 4: Simplify right side
    460,753.10x = 163,295,223,785.04
  5. Step 5: Solve for x
    x = 163,295,223,785.04/460,753.10
  6. Step 6: Final answer
    x = 354,409.39

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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.