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Finding the Fourth Proportional to 599,290.96, 827,188.32 and 344,724.16

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Solution

The fourth proportional to 599,290.96, 827,188.32 and 344,724.16 is: 475,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,290.96 : 827,188.32 = 344,724.16 : x
  2. Step 2: Convert to fraction form
    599,290.96/827,188.32 = 344,724.16/x
  3. Step 3: Cross multiply
    599,290.96x = 827,188.32 × 344,724.16
  4. Step 4: Simplify right side
    599,290.96x = 285,151,798,773.81
  5. Step 5: Solve for x
    x = 285,151,798,773.81/599,290.96
  6. Step 6: Final answer
    x = 475,815.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.