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Finding the Fourth Proportional to 463,031.40, 694,158.30 and 241,415.40

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Solution

The fourth proportional to 463,031.40, 694,158.30 and 241,415.40 is: 361,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,031.40 : 694,158.30 = 241,415.40 : x
  2. Step 2: Convert to fraction form
    463,031.40/694,158.30 = 241,415.40/x
  3. Step 3: Cross multiply
    463,031.40x = 694,158.30 × 241,415.40
  4. Step 4: Simplify right side
    463,031.40x = 167,580,503,657.82
  5. Step 5: Solve for x
    x = 167,580,503,657.82/463,031.40
  6. Step 6: Final answer
    x = 361,920.39

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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.