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Finding the Fourth Proportional to 475,269.19, 655,871.51 and 260,416.96

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Solution

The fourth proportional to 475,269.19, 655,871.51 and 260,416.96 is: 359,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,269.19 : 655,871.51 = 260,416.96 : x
  2. Step 2: Convert to fraction form
    475,269.19/655,871.51 = 260,416.96/x
  3. Step 3: Cross multiply
    475,269.19x = 655,871.51 × 260,416.96
  4. Step 4: Simplify right side
    475,269.19x = 170,800,063,796.17
  5. Step 5: Solve for x
    x = 170,800,063,796.17/475,269.19
  6. Step 6: Final answer
    x = 359,375.42

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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.