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Finding the Fourth Proportional to 405,934.90, 608,889.80 and 192,856.20

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Solution

The fourth proportional to 405,934.90, 608,889.80 and 192,856.20 is: 289,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,934.90 : 608,889.80 = 192,856.20 : x
  2. Step 2: Convert to fraction form
    405,934.90/608,889.80 = 192,856.20/x
  3. Step 3: Cross multiply
    405,934.90x = 608,889.80 × 192,856.20
  4. Step 4: Simplify right side
    405,934.90x = 117,428,173,046.76
  5. Step 5: Solve for x
    x = 117,428,173,046.76/405,934.90
  6. Step 6: Final answer
    x = 289,278.34

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1.5x scale

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.