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Finding the Fourth Proportional to 416,951, 575,454.15 and 264,003.41

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Solution

The fourth proportional to 416,951, 575,454.15 and 264,003.41 is: 364,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,951 : 575,454.15 = 264,003.41 : x
  2. Step 2: Convert to fraction form
    416,951/575,454.15 = 264,003.41/x
  3. Step 3: Cross multiply
    416,951x = 575,454.15 × 264,003.41
  4. Step 4: Simplify right side
    416,951x = 151,921,857,898.65
  5. Step 5: Solve for x
    x = 151,921,857,898.65/416,951
  6. Step 6: Final answer
    x = 364,363.82

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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.