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Finding the Fourth Proportional to 462,068.94, 693,169.08 and 142,247.49

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Solution

The fourth proportional to 462,068.94, 693,169.08 and 142,247.49 is: 213,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,068.94 : 693,169.08 = 142,247.49 : x
  2. Step 2: Convert to fraction form
    462,068.94/693,169.08 = 142,247.49/x
  3. Step 3: Cross multiply
    462,068.94x = 693,169.08 × 142,247.49
  4. Step 4: Simplify right side
    462,068.94x = 98,601,561,775.61
  5. Step 5: Solve for x
    x = 98,601,561,775.61/462,068.94
  6. Step 6: Final answer
    x = 213,391.45

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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.