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Finding the Fourth Proportional to 465,977.60, 699,063.60 and 266,134.40

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Solution

The fourth proportional to 465,977.60, 699,063.60 and 266,134.40 is: 399,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,977.60 : 699,063.60 = 266,134.40 : x
  2. Step 2: Convert to fraction form
    465,977.60/699,063.60 = 266,134.40/x
  3. Step 3: Cross multiply
    465,977.60x = 699,063.60 × 266,134.40
  4. Step 4: Simplify right side
    465,977.60x = 186,044,871,747.84
  5. Step 5: Solve for x
    x = 186,044,871,747.84/465,977.60
  6. Step 6: Final answer
    x = 399,257.11

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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.