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Finding the Fourth Proportional to 293,223.30, 439,871.16 and 103,644.57

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Solution

The fourth proportional to 293,223.30, 439,871.16 and 103,644.57 is: 155,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,223.30 : 439,871.16 = 103,644.57 : x
  2. Step 2: Convert to fraction form
    293,223.30/439,871.16 = 103,644.57/x
  3. Step 3: Cross multiply
    293,223.30x = 439,871.16 × 103,644.57
  4. Step 4: Simplify right side
    293,223.30x = 45,590,257,233.60
  5. Step 5: Solve for x
    x = 45,590,257,233.60/293,223.30
  6. Step 6: Final answer
    x = 155,479.65

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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.