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Finding the Fourth Proportional to 263,870.61, 396,335.34 and 157,462.13

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Solution

The fourth proportional to 263,870.61, 396,335.34 and 157,462.13 is: 236,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,870.61 : 396,335.34 = 157,462.13 : x
  2. Step 2: Convert to fraction form
    263,870.61/396,335.34 = 157,462.13/x
  3. Step 3: Cross multiply
    263,870.61x = 396,335.34 × 157,462.13
  4. Step 4: Simplify right side
    263,870.61x = 62,407,804,849.00
  5. Step 5: Solve for x
    x = 62,407,804,849.00/263,870.61
  6. Step 6: Final answer
    x = 236,509.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.