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Finding the Fourth Proportional to 367,000.84, 506,364.42 and 211,913.92

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Solution

The fourth proportional to 367,000.84, 506,364.42 and 211,913.92 is: 292,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,000.84 : 506,364.42 = 211,913.92 : x
  2. Step 2: Convert to fraction form
    367,000.84/506,364.42 = 211,913.92/x
  3. Step 3: Cross multiply
    367,000.84x = 506,364.42 × 211,913.92
  4. Step 4: Simplify right side
    367,000.84x = 107,305,669,190.73
  5. Step 5: Solve for x
    x = 107,305,669,190.73/367,000.84
  6. Step 6: Final answer
    x = 292,385.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.