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Finding the Fourth Proportional to 259,009.34, 357,449.40 and 157,044.56

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Solution

The fourth proportional to 259,009.34, 357,449.40 and 157,044.56 is: 216,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,009.34 : 357,449.40 = 157,044.56 : x
  2. Step 2: Convert to fraction form
    259,009.34/357,449.40 = 157,044.56/x
  3. Step 3: Cross multiply
    259,009.34x = 357,449.40 × 157,044.56
  4. Step 4: Simplify right side
    259,009.34x = 56,135,483,745.26
  5. Step 5: Solve for x
    x = 56,135,483,745.26/259,009.34
  6. Step 6: Final answer
    x = 216,731.50

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1.5x scale

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.