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Finding the Fourth Proportional to 416,707.83, 575,022.69 and 235,435.50

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Solution

The fourth proportional to 416,707.83, 575,022.69 and 235,435.50 is: 324,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,707.83 : 575,022.69 = 235,435.50 : x
  2. Step 2: Convert to fraction form
    416,707.83/575,022.69 = 235,435.50/x
  3. Step 3: Cross multiply
    416,707.83x = 575,022.69 × 235,435.50
  4. Step 4: Simplify right side
    416,707.83x = 135,380,754,531.50
  5. Step 5: Solve for x
    x = 135,380,754,531.50/416,707.83
  6. Step 6: Final answer
    x = 324,881.72

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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.