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Finding the Fourth Proportional to 310,473.64, 465,378.90 and 177,066.64

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Solution

The fourth proportional to 310,473.64, 465,378.90 and 177,066.64 is: 265,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,473.64 : 465,378.90 = 177,066.64 : x
  2. Step 2: Convert to fraction form
    310,473.64/465,378.90 = 177,066.64/x
  3. Step 3: Cross multiply
    310,473.64x = 465,378.90 × 177,066.64
  4. Step 4: Simplify right side
    310,473.64x = 82,403,078,149.90
  5. Step 5: Solve for x
    x = 82,403,078,149.90/310,473.64
  6. Step 6: Final answer
    x = 265,410.87

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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.