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Finding the Fourth Proportional to 462,851.80, 694,277.70 and 130,427.80

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Solution

The fourth proportional to 462,851.80, 694,277.70 and 130,427.80 is: 195,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,851.80 : 694,277.70 = 130,427.80 : x
  2. Step 2: Convert to fraction form
    462,851.80/694,277.70 = 130,427.80/x
  3. Step 3: Cross multiply
    462,851.80x = 694,277.70 × 130,427.80
  4. Step 4: Simplify right side
    462,851.80x = 90,553,113,000.06
  5. Step 5: Solve for x
    x = 90,553,113,000.06/462,851.80
  6. Step 6: Final answer
    x = 195,641.70

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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.