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Finding the Fourth Proportional to 469,219.20, 703,828.80 and 410,170.20

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Solution

The fourth proportional to 469,219.20, 703,828.80 and 410,170.20 is: 615,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,219.20 : 703,828.80 = 410,170.20 : x
  2. Step 2: Convert to fraction form
    469,219.20/703,828.80 = 410,170.20/x
  3. Step 3: Cross multiply
    469,219.20x = 703,828.80 × 410,170.20
  4. Step 4: Simplify right side
    469,219.20x = 288,689,599,661.76
  5. Step 5: Solve for x
    x = 288,689,599,661.76/469,219.20
  6. Step 6: Final answer
    x = 615,255.30

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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.