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Finding the Fourth Proportional to 460,086.48, 634,854.01 and 256,109.08

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Solution

The fourth proportional to 460,086.48, 634,854.01 and 256,109.08 is: 353,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,086.48 : 634,854.01 = 256,109.08 : x
  2. Step 2: Convert to fraction form
    460,086.48/634,854.01 = 256,109.08/x
  3. Step 3: Cross multiply
    460,086.48x = 634,854.01 × 256,109.08
  4. Step 4: Simplify right side
    460,086.48x = 162,591,876,435.41
  5. Step 5: Solve for x
    x = 162,591,876,435.41/460,086.48
  6. Step 6: Final answer
    x = 353,394.16

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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.