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Finding the Fourth Proportional to 460,265.32, 635,148.42 and 256,324.84

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Solution

The fourth proportional to 460,265.32, 635,148.42 and 256,324.84 is: 353,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,265.32 : 635,148.42 = 256,324.84 : x
  2. Step 2: Convert to fraction form
    460,265.32/635,148.42 = 256,324.84/x
  3. Step 3: Cross multiply
    460,265.32x = 635,148.42 × 256,324.84
  4. Step 4: Simplify right side
    460,265.32x = 162,804,317,132.75
  5. Step 5: Solve for x
    x = 162,804,317,132.75/460,265.32
  6. Step 6: Final answer
    x = 353,718.41

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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.