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Finding the Fourth Proportional to 323,510.76, 485,266.14 and 98,871.84

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Solution

The fourth proportional to 323,510.76, 485,266.14 and 98,871.84 is: 148,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,510.76 : 485,266.14 = 98,871.84 : x
  2. Step 2: Convert to fraction form
    323,510.76/485,266.14 = 98,871.84/x
  3. Step 3: Cross multiply
    323,510.76x = 485,266.14 × 98,871.84
  4. Step 4: Simplify right side
    323,510.76x = 47,979,156,151.50
  5. Step 5: Solve for x
    x = 47,979,156,151.50/323,510.76
  6. Step 6: Final answer
    x = 148,307.76

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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.