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Finding the Fourth Proportional to 283,170.32, 390,612.52 and 177,002

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Solution

The fourth proportional to 283,170.32, 390,612.52 and 177,002 is: 244,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,170.32 : 390,612.52 = 177,002 : x
  2. Step 2: Convert to fraction form
    283,170.32/390,612.52 = 177,002/x
  3. Step 3: Cross multiply
    283,170.32x = 390,612.52 × 177,002
  4. Step 4: Simplify right side
    283,170.32x = 69,139,197,265.04
  5. Step 5: Solve for x
    x = 69,139,197,265.04/283,170.32
  6. Step 6: Final answer
    x = 244,161.17

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