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Finding the Fourth Proportional to 465,682.66, 698,026.65 and 265,572.16

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Solution

The fourth proportional to 465,682.66, 698,026.65 and 265,572.16 is: 398,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,682.66 : 698,026.65 = 265,572.16 : x
  2. Step 2: Convert to fraction form
    465,682.66/698,026.65 = 265,572.16/x
  3. Step 3: Cross multiply
    465,682.66x = 698,026.65 × 265,572.16
  4. Step 4: Simplify right side
    465,682.66x = 185,376,448,604.27
  5. Step 5: Solve for x
    x = 185,376,448,604.27/465,682.66
  6. Step 6: Final answer
    x = 398,074.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.