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Finding the Fourth Proportional to 462,353.44, 693,554.16 and 146,835.04

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Solution

The fourth proportional to 462,353.44, 693,554.16 and 146,835.04 is: 220,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,353.44 : 693,554.16 = 146,835.04 : x
  2. Step 2: Convert to fraction form
    462,353.44/693,554.16 = 146,835.04/x
  3. Step 3: Cross multiply
    462,353.44x = 693,554.16 × 146,835.04
  4. Step 4: Simplify right side
    462,353.44x = 101,838,052,825.77
  5. Step 5: Solve for x
    x = 101,838,052,825.77/462,353.44
  6. Step 6: Final answer
    x = 220,260.18

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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.