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Finding the Fourth Proportional to 405,932.90, 608,886.80 and 192,854.20

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Solution

The fourth proportional to 405,932.90, 608,886.80 and 192,854.20 is: 289,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,932.90 : 608,886.80 = 192,854.20 : x
  2. Step 2: Convert to fraction form
    405,932.90/608,886.80 = 192,854.20/x
  3. Step 3: Cross multiply
    405,932.90x = 608,886.80 × 192,854.20
  4. Step 4: Simplify right side
    405,932.90x = 117,426,376,704.56
  5. Step 5: Solve for x
    x = 117,426,376,704.56/405,932.90
  6. Step 6: Final answer
    x = 289,275.34

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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.