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Finding the Fourth Proportional to 475,116.22, 655,660.54 and 260,264.02

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Solution

The fourth proportional to 475,116.22, 655,660.54 and 260,264.02 is: 359,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,116.22 : 655,660.54 = 260,264.02 : x
  2. Step 2: Convert to fraction form
    475,116.22/655,660.54 = 260,264.02/x
  3. Step 3: Cross multiply
    475,116.22x = 655,660.54 × 260,264.02
  4. Step 4: Simplify right side
    475,116.22x = 170,644,847,895.77
  5. Step 5: Solve for x
    x = 170,644,847,895.77/475,116.22
  6. Step 6: Final answer
    x = 359,164.43

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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.