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Finding the Fourth Proportional to 565,534.20, 848,301.30 and 313,591.80

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Solution

The fourth proportional to 565,534.20, 848,301.30 and 313,591.80 is: 470,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,534.20 : 848,301.30 = 313,591.80 : x
  2. Step 2: Convert to fraction form
    565,534.20/848,301.30 = 313,591.80/x
  3. Step 3: Cross multiply
    565,534.20x = 848,301.30 × 313,591.80
  4. Step 4: Simplify right side
    565,534.20x = 266,020,331,609.34
  5. Step 5: Solve for x
    x = 266,020,331,609.34/565,534.20
  6. Step 6: Final answer
    x = 470,387.70

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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.