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Finding the Fourth Proportional to 397,389, 596,084.94 and 377,456.52

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Solution

The fourth proportional to 397,389, 596,084.94 and 377,456.52 is: 566,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,389 : 596,084.94 = 377,456.52 : x
  2. Step 2: Convert to fraction form
    397,389/596,084.94 = 377,456.52/x
  3. Step 3: Cross multiply
    397,389x = 596,084.94 × 377,456.52
  4. Step 4: Simplify right side
    397,389x = 224,996,147,076.81
  5. Step 5: Solve for x
    x = 224,996,147,076.81/397,389
  6. Step 6: Final answer
    x = 566,186.15

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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.