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Finding the Fourth Proportional to 358,729.65, 538,061.67 and 109,411.65

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Solution

The fourth proportional to 358,729.65, 538,061.67 and 109,411.65 is: 164,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,729.65 : 538,061.67 = 109,411.65 : x
  2. Step 2: Convert to fraction form
    358,729.65/538,061.67 = 109,411.65/x
  3. Step 3: Cross multiply
    358,729.65x = 538,061.67 × 109,411.65
  4. Step 4: Simplify right side
    358,729.65x = 58,870,215,116.46
  5. Step 5: Solve for x
    x = 58,870,215,116.46/358,729.65
  6. Step 6: Final answer
    x = 164,107.47

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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.