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Finding the Fourth Proportional to 462,069.30, 693,125.55 and 146,550.90

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Solution

The fourth proportional to 462,069.30, 693,125.55 and 146,550.90 is: 219,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,069.30 : 693,125.55 = 146,550.90 : x
  2. Step 2: Convert to fraction form
    462,069.30/693,125.55 = 146,550.90/x
  3. Step 3: Cross multiply
    462,069.30x = 693,125.55 × 146,550.90
  4. Step 4: Simplify right side
    462,069.30x = 101,578,173,165.50
  5. Step 5: Solve for x
    x = 101,578,173,165.50/462,069.30
  6. Step 6: Final answer
    x = 219,833.20

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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.