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Finding the Fourth Proportional to 563,364.72, 777,462.16 and 308,713.68

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Solution

The fourth proportional to 563,364.72, 777,462.16 and 308,713.68 is: 426,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,364.72 : 777,462.16 = 308,713.68 : x
  2. Step 2: Convert to fraction form
    563,364.72/777,462.16 = 308,713.68/x
  3. Step 3: Cross multiply
    563,364.72x = 777,462.16 × 308,713.68
  4. Step 4: Simplify right side
    563,364.72x = 240,013,204,474.35
  5. Step 5: Solve for x
    x = 240,013,204,474.35/563,364.72
  6. Step 6: Final answer
    x = 426,035.21

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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.