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Finding the Fourth Proportional to 688,797.60, 1,034,751.76 and 408,498.72

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Solution

The fourth proportional to 688,797.60, 1,034,751.76 and 408,498.72 is: 613,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,797.60 : 1,034,751.76 = 408,498.72 : x
  2. Step 2: Convert to fraction form
    688,797.60/1,034,751.76 = 408,498.72/x
  3. Step 3: Cross multiply
    688,797.60x = 1,034,751.76 × 408,498.72
  4. Step 4: Simplify right side
    688,797.60x = 422,694,769,477.75
  5. Step 5: Solve for x
    x = 422,694,769,477.75/688,797.60
  6. Step 6: Final answer
    x = 613,670.50

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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.