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Finding the Fourth Proportional to 462,900.48, 694,362.24 and 130,464

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Solution

The fourth proportional to 462,900.48, 694,362.24 and 130,464 is: 195,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,900.48 : 694,362.24 = 130,464 : x
  2. Step 2: Convert to fraction form
    462,900.48/694,362.24 = 130,464/x
  3. Step 3: Cross multiply
    462,900.48x = 694,362.24 × 130,464
  4. Step 4: Simplify right side
    462,900.48x = 90,589,275,279.36
  5. Step 5: Solve for x
    x = 90,589,275,279.36/462,900.48
  6. Step 6: Final answer
    x = 195,699.25

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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.