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Finding the Fourth Proportional to 367,003.54, 506,521.65 and 205,923.70

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Solution

The fourth proportional to 367,003.54, 506,521.65 and 205,923.70 is: 284,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,003.54 : 506,521.65 = 205,923.70 : x
  2. Step 2: Convert to fraction form
    367,003.54/506,521.65 = 205,923.70/x
  3. Step 3: Cross multiply
    367,003.54x = 506,521.65 × 205,923.70
  4. Step 4: Simplify right side
    367,003.54x = 104,304,812,298.11
  5. Step 5: Solve for x
    x = 104,304,812,298.11/367,003.54
  6. Step 6: Final answer
    x = 284,206.56

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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.