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Finding the Fourth Proportional to 329,510.61, 454,710.21 and 193,558.50

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Solution

The fourth proportional to 329,510.61, 454,710.21 and 193,558.50 is: 267,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,510.61 : 454,710.21 = 193,558.50 : x
  2. Step 2: Convert to fraction form
    329,510.61/454,710.21 = 193,558.50/x
  3. Step 3: Cross multiply
    329,510.61x = 454,710.21 × 193,558.50
  4. Step 4: Simplify right side
    329,510.61x = 88,013,026,182.29
  5. Step 5: Solve for x
    x = 88,013,026,182.29/329,510.61
  6. Step 6: Final answer
    x = 267,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.