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Finding the Fourth Proportional to 416,170.98, 574,316.26 and 288,920.38

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Solution

The fourth proportional to 416,170.98, 574,316.26 and 288,920.38 is: 398,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,170.98 : 574,316.26 = 288,920.38 : x
  2. Step 2: Convert to fraction form
    416,170.98/574,316.26 = 288,920.38/x
  3. Step 3: Cross multiply
    416,170.98x = 574,316.26 × 288,920.38
  4. Step 4: Simplify right side
    416,170.98x = 165,931,672,079.38
  5. Step 5: Solve for x
    x = 165,931,672,079.38/416,170.98
  6. Step 6: Final answer
    x = 398,710.34

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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.