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Finding the Fourth Proportional to 459,253.80, 633,768.30 and 258,049.80

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Solution

The fourth proportional to 459,253.80, 633,768.30 and 258,049.80 is: 356,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,253.80 : 633,768.30 = 258,049.80 : x
  2. Step 2: Convert to fraction form
    459,253.80/633,768.30 = 258,049.80/x
  3. Step 3: Cross multiply
    459,253.80x = 633,768.30 × 258,049.80
  4. Step 4: Simplify right side
    459,253.80x = 163,543,783,061.34
  5. Step 5: Solve for x
    x = 163,543,783,061.34/459,253.80
  6. Step 6: Final answer
    x = 356,107.63

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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.