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Finding the Fourth Proportional to 462,762.16, 694,199.41 and 130,338.16

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Solution

The fourth proportional to 462,762.16, 694,199.41 and 130,338.16 is: 195,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,762.16 : 694,199.41 = 130,338.16 : x
  2. Step 2: Convert to fraction form
    462,762.16/694,199.41 = 130,338.16/x
  3. Step 3: Cross multiply
    462,762.16x = 694,199.41 × 130,338.16
  4. Step 4: Simplify right side
    462,762.16x = 90,480,673,772.49
  5. Step 5: Solve for x
    x = 90,480,673,772.49/462,762.16
  6. Step 6: Final answer
    x = 195,523.06

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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.