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Finding the Fourth Proportional to 486,514.40, 728,216.40 and 346,546.40

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Solution

The fourth proportional to 486,514.40, 728,216.40 and 346,546.40 is: 518,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,514.40 : 728,216.40 = 346,546.40 : x
  2. Step 2: Convert to fraction form
    486,514.40/728,216.40 = 346,546.40/x
  3. Step 3: Cross multiply
    486,514.40x = 728,216.40 × 346,546.40
  4. Step 4: Simplify right side
    486,514.40x = 252,360,771,840.96
  5. Step 5: Solve for x
    x = 252,360,771,840.96/486,514.40
  6. Step 6: Final answer
    x = 518,711.82

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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.