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Finding the Fourth Proportional to 462,079.80, 693,141.30 and 146,561.40

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Solution

The fourth proportional to 462,079.80, 693,141.30 and 146,561.40 is: 219,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,079.80 : 693,141.30 = 146,561.40 : x
  2. Step 2: Convert to fraction form
    462,079.80/693,141.30 = 146,561.40/x
  3. Step 3: Cross multiply
    462,079.80x = 693,141.30 × 146,561.40
  4. Step 4: Simplify right side
    462,079.80x = 101,587,759,325.82
  5. Step 5: Solve for x
    x = 101,587,759,325.82/462,079.80
  6. Step 6: Final answer
    x = 219,848.95

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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.