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Finding the Fourth Proportional to 417,155.76, 575,639.50 and 235,842.52

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Solution

The fourth proportional to 417,155.76, 575,639.50 and 235,842.52 is: 325,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,155.76 : 575,639.50 = 235,842.52 : x
  2. Step 2: Convert to fraction form
    417,155.76/575,639.50 = 235,842.52/x
  3. Step 3: Cross multiply
    417,155.76x = 575,639.50 × 235,842.52
  4. Step 4: Simplify right side
    417,155.76x = 135,760,270,291.54
  5. Step 5: Solve for x
    x = 135,760,270,291.54/417,155.76
  6. Step 6: Final answer
    x = 325,442.64

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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.