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Finding the Fourth Proportional to 416,123.28, 574,107.48 and 234,812.88

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Solution

The fourth proportional to 416,123.28, 574,107.48 and 234,812.88 is: 323,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,123.28 : 574,107.48 = 234,812.88 : x
  2. Step 2: Convert to fraction form
    416,123.28/574,107.48 = 234,812.88/x
  3. Step 3: Cross multiply
    416,123.28x = 574,107.48 × 234,812.88
  4. Step 4: Simplify right side
    416,123.28x = 134,807,830,808.34
  5. Step 5: Solve for x
    x = 134,807,830,808.34/416,123.28
  6. Step 6: Final answer
    x = 323,961.28

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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.