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Finding the Fourth Proportional to 486,023.60, 729,035.40 and 308,730.80

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Solution

The fourth proportional to 486,023.60, 729,035.40 and 308,730.80 is: 463,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,023.60 : 729,035.40 = 308,730.80 : x
  2. Step 2: Convert to fraction form
    486,023.60/729,035.40 = 308,730.80/x
  3. Step 3: Cross multiply
    486,023.60x = 729,035.40 × 308,730.80
  4. Step 4: Simplify right side
    486,023.60x = 225,075,682,270.32
  5. Step 5: Solve for x
    x = 225,075,682,270.32/486,023.60
  6. Step 6: Final answer
    x = 463,096.20

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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.