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Finding the Fourth Proportional to 367,870.38, 507,671.24 and 206,740.12

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Solution

The fourth proportional to 367,870.38, 507,671.24 and 206,740.12 is: 285,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,870.38 : 507,671.24 = 206,740.12 : x
  2. Step 2: Convert to fraction form
    367,870.38/507,671.24 = 206,740.12/x
  3. Step 3: Cross multiply
    367,870.38x = 507,671.24 × 206,740.12
  4. Step 4: Simplify right side
    367,870.38x = 104,956,013,078.15
  5. Step 5: Solve for x
    x = 104,956,013,078.15/367,870.38
  6. Step 6: Final answer
    x = 285,307.05

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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.