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Finding the Fourth Proportional to 416,700.52, 575,043.64 and 235,409.15

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Solution

The fourth proportional to 416,700.52, 575,043.64 and 235,409.15 is: 324,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,700.52 : 575,043.64 = 235,409.15 : x
  2. Step 2: Convert to fraction form
    416,700.52/575,043.64 = 235,409.15/x
  3. Step 3: Cross multiply
    416,700.52x = 575,043.64 × 235,409.15
  4. Step 4: Simplify right side
    416,700.52x = 135,370,535,354.39
  5. Step 5: Solve for x
    x = 135,370,535,354.39/416,700.52
  6. Step 6: Final answer
    x = 324,862.89

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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.