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Finding the Fourth Proportional to 897,255, 1,345,882.14 and 266,163.30

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Solution

The fourth proportional to 897,255, 1,345,882.14 and 266,163.30 is: 399,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,255 : 1,345,882.14 = 266,163.30 : x
  2. Step 2: Convert to fraction form
    897,255/1,345,882.14 = 266,163.30/x
  3. Step 3: Cross multiply
    897,255x = 1,345,882.14 × 266,163.30
  4. Step 4: Simplify right side
    897,255x = 358,224,431,793.46
  5. Step 5: Solve for x
    x = 358,224,431,793.46/897,255
  6. Step 6: Final answer
    x = 399,244.84

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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.