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Finding the Fourth Proportional to 652,966.65, 978,859.44 and 232,144.11

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Solution

The fourth proportional to 652,966.65, 978,859.44 and 232,144.11 is: 348,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,966.65 : 978,859.44 = 232,144.11 : x
  2. Step 2: Convert to fraction form
    652,966.65/978,859.44 = 232,144.11/x
  3. Step 3: Cross multiply
    652,966.65x = 978,859.44 × 232,144.11
  4. Step 4: Simplify right side
    652,966.65x = 227,236,453,513.90
  5. Step 5: Solve for x
    x = 227,236,453,513.90/652,966.65
  6. Step 6: Final answer
    x = 348,006.22

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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.