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Finding the Fourth Proportional to 329,283.65, 493,868.07 and 92,570.06

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Solution

The fourth proportional to 329,283.65, 493,868.07 and 92,570.06 is: 138,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,283.65 : 493,868.07 = 92,570.06 : x
  2. Step 2: Convert to fraction form
    329,283.65/493,868.07 = 92,570.06/x
  3. Step 3: Cross multiply
    329,283.65x = 493,868.07 × 92,570.06
  4. Step 4: Simplify right side
    329,283.65x = 45,717,398,106.65
  5. Step 5: Solve for x
    x = 45,717,398,106.65/329,283.65
  6. Step 6: Final answer
    x = 138,838.95

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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.