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Finding the Fourth Proportional to 612,691.84, 919,038.24 and 192,000.48

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Solution

The fourth proportional to 612,691.84, 919,038.24 and 192,000.48 is: 288,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,691.84 : 919,038.24 = 192,000.48 : x
  2. Step 2: Convert to fraction form
    612,691.84/919,038.24 = 192,000.48/x
  3. Step 3: Cross multiply
    612,691.84x = 919,038.24 × 192,000.48
  4. Step 4: Simplify right side
    612,691.84x = 176,455,783,218.36
  5. Step 5: Solve for x
    x = 176,455,783,218.36/612,691.84
  6. Step 6: Final answer
    x = 288,000.87

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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.