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Finding the Fourth Proportional to 713,297.60, 1,069,560.04 and 313,470.32

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Solution

The fourth proportional to 713,297.60, 1,069,560.04 and 313,470.32 is: 470,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,297.60 : 1,069,560.04 = 313,470.32 : x
  2. Step 2: Convert to fraction form
    713,297.60/1,069,560.04 = 313,470.32/x
  3. Step 3: Cross multiply
    713,297.60x = 1,069,560.04 × 313,470.32
  4. Step 4: Simplify right side
    713,297.60x = 335,275,327,998.01
  5. Step 5: Solve for x
    x = 335,275,327,998.01/713,297.60
  6. Step 6: Final answer
    x = 470,035.69

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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.