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Finding the Fourth Proportional to 416,022.90, 574,047.45 and 234,720.60

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Solution

The fourth proportional to 416,022.90, 574,047.45 and 234,720.60 is: 323,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,022.90 : 574,047.45 = 234,720.60 : x
  2. Step 2: Convert to fraction form
    416,022.90/574,047.45 = 234,720.60/x
  3. Step 3: Cross multiply
    416,022.90x = 574,047.45 × 234,720.60
  4. Step 4: Simplify right side
    416,022.90x = 134,740,761,892.47
  5. Step 5: Solve for x
    x = 134,740,761,892.47/416,022.90
  6. Step 6: Final answer
    x = 323,878.23

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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.