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Finding the Fourth Proportional to 486,078.40, 729,117.60 and 308,712.70

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Solution

The fourth proportional to 486,078.40, 729,117.60 and 308,712.70 is: 463,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,078.40 : 729,117.60 = 308,712.70 : x
  2. Step 2: Convert to fraction form
    486,078.40/729,117.60 = 308,712.70/x
  3. Step 3: Cross multiply
    486,078.40x = 729,117.60 × 308,712.70
  4. Step 4: Simplify right side
    486,078.40x = 225,087,862,913.52
  5. Step 5: Solve for x
    x = 225,087,862,913.52/486,078.40
  6. Step 6: Final answer
    x = 463,069.05

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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.