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Finding the Fourth Proportional to 542,965.84, 749,292.94 and 301,247.83

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Solution

The fourth proportional to 542,965.84, 749,292.94 and 301,247.83 is: 415,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,965.84 : 749,292.94 = 301,247.83 : x
  2. Step 2: Convert to fraction form
    542,965.84/749,292.94 = 301,247.83/x
  3. Step 3: Cross multiply
    542,965.84x = 749,292.94 × 301,247.83
  4. Step 4: Simplify right side
    542,965.84x = 225,722,872,209.32
  5. Step 5: Solve for x
    x = 225,722,872,209.32/542,965.84
  6. Step 6: Final answer
    x = 415,722.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.