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Finding the Fourth Proportional to 417,152.40, 575,634.84 and 235,839.16

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Solution

The fourth proportional to 417,152.40, 575,634.84 and 235,839.16 is: 325,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,152.40 : 575,634.84 = 235,839.16 : x
  2. Step 2: Convert to fraction form
    417,152.40/575,634.84 = 235,839.16/x
  3. Step 3: Cross multiply
    417,152.40x = 575,634.84 × 235,839.16
  4. Step 4: Simplify right side
    417,152.40x = 135,757,237,132.33
  5. Step 5: Solve for x
    x = 135,757,237,132.33/417,152.40
  6. Step 6: Final answer
    x = 325,437.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.