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Finding the Fourth Proportional to 460,229.76, 635,096.64 and 256,291.20

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Solution

The fourth proportional to 460,229.76, 635,096.64 and 256,291.20 is: 353,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,229.76 : 635,096.64 = 256,291.20 : x
  2. Step 2: Convert to fraction form
    460,229.76/635,096.64 = 256,291.20/x
  3. Step 3: Cross multiply
    460,229.76x = 635,096.64 × 256,291.20
  4. Step 4: Simplify right side
    460,229.76x = 162,769,679,981.57
  5. Step 5: Solve for x
    x = 162,769,679,981.57/460,229.76
  6. Step 6: Final answer
    x = 353,670.48

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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.