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Finding the Fourth Proportional to 652,438.64, 978,541.32 and 179,061.68

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Solution

The fourth proportional to 652,438.64, 978,541.32 and 179,061.68 is: 268,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,438.64 : 978,541.32 = 179,061.68 : x
  2. Step 2: Convert to fraction form
    652,438.64/978,541.32 = 179,061.68/x
  3. Step 3: Cross multiply
    652,438.64x = 978,541.32 × 179,061.68
  4. Step 4: Simplify right side
    652,438.64x = 175,219,252,708.62
  5. Step 5: Solve for x
    x = 175,219,252,708.62/652,438.64
  6. Step 6: Final answer
    x = 268,560.51

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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.