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Finding the Fourth Proportional to 461,737.40, 692,541.30 and 146,226.20

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Solution

The fourth proportional to 461,737.40, 692,541.30 and 146,226.20 is: 219,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,737.40 : 692,541.30 = 146,226.20 : x
  2. Step 2: Convert to fraction form
    461,737.40/692,541.30 = 146,226.20/x
  3. Step 3: Cross multiply
    461,737.40x = 692,541.30 × 146,226.20
  4. Step 4: Simplify right side
    461,737.40x = 101,267,682,642.06
  5. Step 5: Solve for x
    x = 101,267,682,642.06/461,737.40
  6. Step 6: Final answer
    x = 219,318.78

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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.