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Finding the Fourth Proportional to 468,023.80, 702,035.70 and 255,447.40

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Solution

The fourth proportional to 468,023.80, 702,035.70 and 255,447.40 is: 383,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,023.80 : 702,035.70 = 255,447.40 : x
  2. Step 2: Convert to fraction form
    468,023.80/702,035.70 = 255,447.40/x
  3. Step 3: Cross multiply
    468,023.80x = 702,035.70 × 255,447.40
  4. Step 4: Simplify right side
    468,023.80x = 179,333,194,272.18
  5. Step 5: Solve for x
    x = 179,333,194,272.18/468,023.80
  6. Step 6: Final answer
    x = 383,171.10

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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.