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Finding the Fourth Proportional to 591,597.40, 887,952.90 and 311,315.80

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Solution

The fourth proportional to 591,597.40, 887,952.90 and 311,315.80 is: 467,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,597.40 : 887,952.90 = 311,315.80 : x
  2. Step 2: Convert to fraction form
    591,597.40/887,952.90 = 311,315.80/x
  3. Step 3: Cross multiply
    591,597.40x = 887,952.90 × 311,315.80
  4. Step 4: Simplify right side
    591,597.40x = 276,433,767,425.82
  5. Step 5: Solve for x
    x = 276,433,767,425.82/591,597.40
  6. Step 6: Final answer
    x = 467,266.70

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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.