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Finding the Fourth Proportional to 468,015.40, 702,023.10 and 410,278.60

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Solution

The fourth proportional to 468,015.40, 702,023.10 and 410,278.60 is: 615,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,015.40 : 702,023.10 = 410,278.60 : x
  2. Step 2: Convert to fraction form
    468,015.40/702,023.10 = 410,278.60/x
  3. Step 3: Cross multiply
    468,015.40x = 702,023.10 × 410,278.60
  4. Step 4: Simplify right side
    468,015.40x = 288,025,054,635.66
  5. Step 5: Solve for x
    x = 288,025,054,635.66/468,015.40
  6. Step 6: Final answer
    x = 615,417.90

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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.