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Finding the Fourth Proportional to 286,466.32, 429,744.05 and 86,739.15

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Solution

The fourth proportional to 286,466.32, 429,744.05 and 86,739.15 is: 130,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,466.32 : 429,744.05 = 86,739.15 : x
  2. Step 2: Convert to fraction form
    286,466.32/429,744.05 = 86,739.15/x
  3. Step 3: Cross multiply
    286,466.32x = 429,744.05 × 86,739.15
  4. Step 4: Simplify right side
    286,466.32x = 37,275,633,614.56
  5. Step 5: Solve for x
    x = 37,275,633,614.56/286,466.32
  6. Step 6: Final answer
    x = 130,122.22

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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.