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Finding the Fourth Proportional to 462,118.56, 693,129.96 and 313,314.72

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Solution

The fourth proportional to 462,118.56, 693,129.96 and 313,314.72 is: 469,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,118.56 : 693,129.96 = 313,314.72 : x
  2. Step 2: Convert to fraction form
    462,118.56/693,129.96 = 313,314.72/x
  3. Step 3: Cross multiply
    462,118.56x = 693,129.96 × 313,314.72
  4. Step 4: Simplify right side
    462,118.56x = 217,167,819,341.01
  5. Step 5: Solve for x
    x = 217,167,819,341.01/462,118.56
  6. Step 6: Final answer
    x = 469,939.62

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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.