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Finding the Fourth Proportional to 417,130.44, 575,632.50 and 235,839.24

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Solution

The fourth proportional to 417,130.44, 575,632.50 and 235,839.24 is: 325,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,130.44 : 575,632.50 = 235,839.24 : x
  2. Step 2: Convert to fraction form
    417,130.44/575,632.50 = 235,839.24/x
  3. Step 3: Cross multiply
    417,130.44x = 575,632.50 × 235,839.24
  4. Step 4: Simplify right side
    417,130.44x = 135,756,731,319.30
  5. Step 5: Solve for x
    x = 135,756,731,319.30/417,130.44
  6. Step 6: Final answer
    x = 325,453.91

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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.