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Finding the Fourth Proportional to 416,535.16, 574,817.68 and 225,547.96

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Solution

The fourth proportional to 416,535.16, 574,817.68 and 225,547.96 is: 311,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,535.16 : 574,817.68 = 225,547.96 : x
  2. Step 2: Convert to fraction form
    416,535.16/574,817.68 = 225,547.96/x
  3. Step 3: Cross multiply
    416,535.16x = 574,817.68 × 225,547.96
  4. Step 4: Simplify right side
    416,535.16x = 129,648,955,095.93
  5. Step 5: Solve for x
    x = 129,648,955,095.93/416,535.16
  6. Step 6: Final answer
    x = 311,255.73

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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.