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Finding the Fourth Proportional to 612,890.32, 919,335.48 and 192,199

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Solution

The fourth proportional to 612,890.32, 919,335.48 and 192,199 is: 288,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,890.32 : 919,335.48 = 192,199 : x
  2. Step 2: Convert to fraction form
    612,890.32/919,335.48 = 192,199/x
  3. Step 3: Cross multiply
    612,890.32x = 919,335.48 × 192,199
  4. Step 4: Simplify right side
    612,890.32x = 176,695,359,920.52
  5. Step 5: Solve for x
    x = 176,695,359,920.52/612,890.32
  6. Step 6: Final answer
    x = 288,298.50

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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.