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Finding the Fourth Proportional to 381,776.49, 526,858.14 and 209,701.71

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Solution

The fourth proportional to 381,776.49, 526,858.14 and 209,701.71 is: 289,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,776.49 : 526,858.14 = 209,701.71 : x
  2. Step 2: Convert to fraction form
    381,776.49/526,858.14 = 209,701.71/x
  3. Step 3: Cross multiply
    381,776.49x = 526,858.14 × 209,701.71
  4. Step 4: Simplify right side
    381,776.49x = 110,483,052,885.42
  5. Step 5: Solve for x
    x = 110,483,052,885.42/381,776.49
  6. Step 6: Final answer
    x = 289,391.98

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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.