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Finding the Fourth Proportional to 416,588.96, 574,889.76 and 225,597.92

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Solution

The fourth proportional to 416,588.96, 574,889.76 and 225,597.92 is: 311,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,588.96 : 574,889.76 = 225,597.92 : x
  2. Step 2: Convert to fraction form
    416,588.96/574,889.76 = 225,597.92/x
  3. Step 3: Cross multiply
    416,588.96x = 574,889.76 × 225,597.92
  4. Step 4: Simplify right side
    416,588.96x = 129,693,934,085.30
  5. Step 5: Solve for x
    x = 129,693,934,085.30/416,588.96
  6. Step 6: Final answer
    x = 311,323.50

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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.