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Finding the Fourth Proportional to 475,705.80, 656,474.16 and 260,841.40

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Solution

The fourth proportional to 475,705.80, 656,474.16 and 260,841.40 is: 359,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,705.80 : 656,474.16 = 260,841.40 : x
  2. Step 2: Convert to fraction form
    475,705.80/656,474.16 = 260,841.40/x
  3. Step 3: Cross multiply
    475,705.80x = 656,474.16 × 260,841.40
  4. Step 4: Simplify right side
    475,705.80x = 171,235,638,958.22
  5. Step 5: Solve for x
    x = 171,235,638,958.22/475,705.80
  6. Step 6: Final answer
    x = 359,961.22

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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.