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Finding the Fourth Proportional to 397,388, 596,083.44 and 377,455.52

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Solution

The fourth proportional to 397,388, 596,083.44 and 377,455.52 is: 566,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,388 : 596,083.44 = 377,455.52 : x
  2. Step 2: Convert to fraction form
    397,388/596,083.44 = 377,455.52/x
  3. Step 3: Cross multiply
    397,388x = 596,083.44 × 377,455.52
  4. Step 4: Simplify right side
    397,388x = 224,994,984,808.59
  5. Step 5: Solve for x
    x = 224,994,984,808.59/397,388
  6. Step 6: Final answer
    x = 566,184.65

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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.