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Finding the Fourth Proportional to 287,452.60, 396,696.54 and 160,128.16

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Solution

The fourth proportional to 287,452.60, 396,696.54 and 160,128.16 is: 220,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,452.60 : 396,696.54 = 160,128.16 : x
  2. Step 2: Convert to fraction form
    287,452.60/396,696.54 = 160,128.16/x
  3. Step 3: Cross multiply
    287,452.60x = 396,696.54 × 160,128.16
  4. Step 4: Simplify right side
    287,452.60x = 63,522,287,028.57
  5. Step 5: Solve for x
    x = 63,522,287,028.57/287,452.60
  6. Step 6: Final answer
    x = 220,983.52

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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.