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Finding the Fourth Proportional to 293,733.70, 440,293.35 and 160,408.90

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Solution

The fourth proportional to 293,733.70, 440,293.35 and 160,408.90 is: 240,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,733.70 : 440,293.35 = 160,408.90 : x
  2. Step 2: Convert to fraction form
    293,733.70/440,293.35 = 160,408.90/x
  3. Step 3: Cross multiply
    293,733.70x = 440,293.35 × 160,408.90
  4. Step 4: Simplify right side
    293,733.70x = 70,626,971,950.82
  5. Step 5: Solve for x
    x = 70,626,971,950.82/293,733.70
  6. Step 6: Final answer
    x = 240,445.59

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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.