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Finding the Fourth Proportional to 486,462.40, 728,138.40 and 346,494.40

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Solution

The fourth proportional to 486,462.40, 728,138.40 and 346,494.40 is: 518,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,462.40 : 728,138.40 = 346,494.40 : x
  2. Step 2: Convert to fraction form
    486,462.40/728,138.40 = 346,494.40/x
  3. Step 3: Cross multiply
    486,462.40x = 728,138.40 × 346,494.40
  4. Step 4: Simplify right side
    486,462.40x = 252,295,878,024.96
  5. Step 5: Solve for x
    x = 252,295,878,024.96/486,462.40
  6. Step 6: Final answer
    x = 518,633.87

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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.