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Finding the Fourth Proportional to 475,668.35, 656,417.42 and 260,808.05

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Solution

The fourth proportional to 475,668.35, 656,417.42 and 260,808.05 is: 359,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,668.35 : 656,417.42 = 260,808.05 : x
  2. Step 2: Convert to fraction form
    475,668.35/656,417.42 = 260,808.05/x
  3. Step 3: Cross multiply
    475,668.35x = 656,417.42 × 260,808.05
  4. Step 4: Simplify right side
    475,668.35x = 171,198,948,611.26
  5. Step 5: Solve for x
    x = 171,198,948,611.26/475,668.35
  6. Step 6: Final answer
    x = 359,912.42

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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.