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Finding the Fourth Proportional to 576,206.94, 864,402.57 and 243,785.82

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Solution

The fourth proportional to 576,206.94, 864,402.57 and 243,785.82 is: 365,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,206.94 : 864,402.57 = 243,785.82 : x
  2. Step 2: Convert to fraction form
    576,206.94/864,402.57 = 243,785.82/x
  3. Step 3: Cross multiply
    576,206.94x = 864,402.57 × 243,785.82
  4. Step 4: Simplify right side
    576,206.94x = 210,729,089,337.56
  5. Step 5: Solve for x
    x = 210,729,089,337.56/576,206.94
  6. Step 6: Final answer
    x = 365,717.72

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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.