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Finding the Fourth Proportional to 566,711.02, 782,066.91 and 312,063.22

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Solution

The fourth proportional to 566,711.02, 782,066.91 and 312,063.22 is: 430,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,711.02 : 782,066.91 = 312,063.22 : x
  2. Step 2: Convert to fraction form
    566,711.02/782,066.91 = 312,063.22/x
  3. Step 3: Cross multiply
    566,711.02x = 782,066.91 × 312,063.22
  4. Step 4: Simplify right side
    566,711.02x = 244,054,318,190.05
  5. Step 5: Solve for x
    x = 244,054,318,190.05/566,711.02
  6. Step 6: Final answer
    x = 430,650.38

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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.