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Finding the Fourth Proportional to 416,549.76, 574,841.40 and 225,563.16

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Solution

The fourth proportional to 416,549.76, 574,841.40 and 225,563.16 is: 311,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,549.76 : 574,841.40 = 225,563.16 : x
  2. Step 2: Convert to fraction form
    416,549.76/574,841.40 = 225,563.16/x
  3. Step 3: Cross multiply
    416,549.76x = 574,841.40 × 225,563.16
  4. Step 4: Simplify right side
    416,549.76x = 129,663,042,682.82
  5. Step 5: Solve for x
    x = 129,663,042,682.82/416,549.76
  6. Step 6: Final answer
    x = 311,278.64

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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.