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Finding the Fourth Proportional to 460,724.72, 635,851.76 and 256,794.24

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Solution

The fourth proportional to 460,724.72, 635,851.76 and 256,794.24 is: 354,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,724.72 : 635,851.76 = 256,794.24 : x
  2. Step 2: Convert to fraction form
    460,724.72/635,851.76 = 256,794.24/x
  3. Step 3: Cross multiply
    460,724.72x = 635,851.76 × 256,794.24
  4. Step 4: Simplify right side
    460,724.72x = 163,283,069,461.86
  5. Step 5: Solve for x
    x = 163,283,069,461.86/460,724.72
  6. Step 6: Final answer
    x = 354,404.84

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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.