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Finding the Fourth Proportional to 293,494.60, 439,853.10 and 260,057.80

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Solution

The fourth proportional to 293,494.60, 439,853.10 and 260,057.80 is: 389,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,494.60 : 439,853.10 = 260,057.80 : x
  2. Step 2: Convert to fraction form
    293,494.60/439,853.10 = 260,057.80/x
  3. Step 3: Cross multiply
    293,494.60x = 439,853.10 × 260,057.80
  4. Step 4: Simplify right side
    293,494.60x = 114,387,229,509.18
  5. Step 5: Solve for x
    x = 114,387,229,509.18/293,494.60
  6. Step 6: Final answer
    x = 389,742.19

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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.