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Finding the Fourth Proportional to 416,723.76, 575,050.38 and 235,443.30

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Solution

The fourth proportional to 416,723.76, 575,050.38 and 235,443.30 is: 324,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,723.76 : 575,050.38 = 235,443.30 : x
  2. Step 2: Convert to fraction form
    416,723.76/575,050.38 = 235,443.30/x
  3. Step 3: Cross multiply
    416,723.76x = 575,050.38 × 235,443.30
  4. Step 4: Simplify right side
    416,723.76x = 135,391,759,133.45
  5. Step 5: Solve for x
    x = 135,391,759,133.45/416,723.76
  6. Step 6: Final answer
    x = 324,895.70

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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.