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Finding the Fourth Proportional to 428,254.38, 590,965.34 and 237,253.95

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Solution

The fourth proportional to 428,254.38, 590,965.34 and 237,253.95 is: 327,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,254.38 : 590,965.34 = 237,253.95 : x
  2. Step 2: Convert to fraction form
    428,254.38/590,965.34 = 237,253.95/x
  3. Step 3: Cross multiply
    428,254.38x = 590,965.34 × 237,253.95
  4. Step 4: Simplify right side
    428,254.38x = 140,208,860,041.82
  5. Step 5: Solve for x
    x = 140,208,860,041.82/428,254.38
  6. Step 6: Final answer
    x = 327,396.21

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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.