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Finding the Fourth Proportional to 416,235.78, 574,409.42 and 225,253.14

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Solution

The fourth proportional to 416,235.78, 574,409.42 and 225,253.14 is: 310,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,235.78 : 574,409.42 = 225,253.14 : x
  2. Step 2: Convert to fraction form
    416,235.78/574,409.42 = 225,253.14/x
  3. Step 3: Cross multiply
    416,235.78x = 574,409.42 × 225,253.14
  4. Step 4: Simplify right side
    416,235.78x = 129,387,525,500.58
  5. Step 5: Solve for x
    x = 129,387,525,500.58/416,235.78
  6. Step 6: Final answer
    x = 310,851.52

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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.