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Finding the Fourth Proportional to 293,212.80, 439,833.60 and 153,244.80

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Solution

The fourth proportional to 293,212.80, 439,833.60 and 153,244.80 is: 229,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,212.80 : 439,833.60 = 153,244.80 : x
  2. Step 2: Convert to fraction form
    293,212.80/439,833.60 = 153,244.80/x
  3. Step 3: Cross multiply
    293,212.80x = 439,833.60 × 153,244.80
  4. Step 4: Simplify right side
    293,212.80x = 67,402,212,065.28
  5. Step 5: Solve for x
    x = 67,402,212,065.28/293,212.80
  6. Step 6: Final answer
    x = 229,874.73

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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.