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Finding the Fourth Proportional to 468,023.40, 702,035.10 and 410,286.60

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Solution

The fourth proportional to 468,023.40, 702,035.10 and 410,286.60 is: 615,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,023.40 : 702,035.10 = 410,286.60 : x
  2. Step 2: Convert to fraction form
    468,023.40/702,035.10 = 410,286.60/x
  3. Step 3: Cross multiply
    468,023.40x = 702,035.10 × 410,286.60
  4. Step 4: Simplify right side
    468,023.40x = 288,035,594,259.66
  5. Step 5: Solve for x
    x = 288,035,594,259.66/468,023.40
  6. Step 6: Final answer
    x = 615,429.90

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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.