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Finding the Fourth Proportional to 416,698.83, 575,010.29 and 235,426.50

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Solution

The fourth proportional to 416,698.83, 575,010.29 and 235,426.50 is: 324,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,698.83 : 575,010.29 = 235,426.50 : x
  2. Step 2: Convert to fraction form
    416,698.83/575,010.29 = 235,426.50/x
  3. Step 3: Cross multiply
    416,698.83x = 575,010.29 × 235,426.50
  4. Step 4: Simplify right side
    416,698.83x = 135,372,660,627.25
  5. Step 5: Solve for x
    x = 135,372,660,627.25/416,698.83
  6. Step 6: Final answer
    x = 324,869.31

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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.