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Finding the Fourth Proportional to 462,009.22, 693,038.63 and 146,490.73

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Solution

The fourth proportional to 462,009.22, 693,038.63 and 146,490.73 is: 219,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,009.22 : 693,038.63 = 146,490.73 : x
  2. Step 2: Convert to fraction form
    462,009.22/693,038.63 = 146,490.73/x
  3. Step 3: Cross multiply
    462,009.22x = 693,038.63 × 146,490.73
  4. Step 4: Simplify right side
    462,009.22x = 101,523,733,460.53
  5. Step 5: Solve for x
    x = 101,523,733,460.53/462,009.22
  6. Step 6: Final answer
    x = 219,743.96

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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.