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Finding the Fourth Proportional to 367,284.74, 506,852.93 and 206,139.78

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Solution

The fourth proportional to 367,284.74, 506,852.93 and 206,139.78 is: 284,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,284.74 : 506,852.93 = 206,139.78 : x
  2. Step 2: Convert to fraction form
    367,284.74/506,852.93 = 206,139.78/x
  3. Step 3: Cross multiply
    367,284.74x = 506,852.93 × 206,139.78
  4. Step 4: Simplify right side
    367,284.74x = 104,482,550,451.86
  5. Step 5: Solve for x
    x = 104,482,550,451.86/367,284.74
  6. Step 6: Final answer
    x = 284,472.89

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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.