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Finding the Fourth Proportional to 377,458.95, 566,275.78 and 197,642.06

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Solution

The fourth proportional to 377,458.95, 566,275.78 and 197,642.06 is: 296,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,458.95 : 566,275.78 = 197,642.06 : x
  2. Step 2: Convert to fraction form
    377,458.95/566,275.78 = 197,642.06/x
  3. Step 3: Cross multiply
    377,458.95x = 566,275.78 × 197,642.06
  4. Step 4: Simplify right side
    377,458.95x = 111,919,908,855.93
  5. Step 5: Solve for x
    x = 111,919,908,855.93/377,458.95
  6. Step 6: Final answer
    x = 296,508.83

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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.