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Finding the Fourth Proportional to 390,288.65, 585,964.09 and 219,630.93

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Solution

The fourth proportional to 390,288.65, 585,964.09 and 219,630.93 is: 329,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,288.65 : 585,964.09 = 219,630.93 : x
  2. Step 2: Convert to fraction form
    390,288.65/585,964.09 = 219,630.93/x
  3. Step 3: Cross multiply
    390,288.65x = 585,964.09 × 219,630.93
  4. Step 4: Simplify right side
    390,288.65x = 128,695,838,033.30
  5. Step 5: Solve for x
    x = 128,695,838,033.30/390,288.65
  6. Step 6: Final answer
    x = 329,745.27

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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.