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Finding the Fourth Proportional to 486,029.40, 728,825.40 and 186,410.40

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Solution

The fourth proportional to 486,029.40, 728,825.40 and 186,410.40 is: 279,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,029.40 : 728,825.40 = 186,410.40 : x
  2. Step 2: Convert to fraction form
    486,029.40/728,825.40 = 186,410.40/x
  3. Step 3: Cross multiply
    486,029.40x = 728,825.40 × 186,410.40
  4. Step 4: Simplify right side
    486,029.40x = 135,860,634,344.16
  5. Step 5: Solve for x
    x = 135,860,634,344.16/486,029.40
  6. Step 6: Final answer
    x = 279,531.72

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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.