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Finding the Fourth Proportional to 475,294.25, 655,921.31 and 260,447.96

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Solution

The fourth proportional to 475,294.25, 655,921.31 and 260,447.96 is: 359,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,294.25 : 655,921.31 = 260,447.96 : x
  2. Step 2: Convert to fraction form
    475,294.25/655,921.31 = 260,447.96/x
  3. Step 3: Cross multiply
    475,294.25x = 655,921.31 × 260,447.96
  4. Step 4: Simplify right side
    475,294.25x = 170,833,362,528.18
  5. Step 5: Solve for x
    x = 170,833,362,528.18/475,294.25
  6. Step 6: Final answer
    x = 359,426.53

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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.