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Finding the Fourth Proportional to 259,219.17, 357,822.77 and 202,648.77

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Solution

The fourth proportional to 259,219.17, 357,822.77 and 202,648.77 is: 279,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,219.17 : 357,822.77 = 202,648.77 : x
  2. Step 2: Convert to fraction form
    259,219.17/357,822.77 = 202,648.77/x
  3. Step 3: Cross multiply
    259,219.17x = 357,822.77 × 202,648.77
  4. Step 4: Simplify right side
    259,219.17x = 72,512,343,205.25
  5. Step 5: Solve for x
    x = 72,512,343,205.25/259,219.17
  6. Step 6: Final answer
    x = 279,733.72

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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.