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Finding the Fourth Proportional to 563,663.08, 777,850.32 and 309,013.68

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Solution

The fourth proportional to 563,663.08, 777,850.32 and 309,013.68 is: 426,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,663.08 : 777,850.32 = 309,013.68 : x
  2. Step 2: Convert to fraction form
    563,663.08/777,850.32 = 309,013.68/x
  3. Step 3: Cross multiply
    563,663.08x = 777,850.32 × 309,013.68
  4. Step 4: Simplify right side
    563,663.08x = 240,366,389,872.38
  5. Step 5: Solve for x
    x = 240,366,389,872.38/563,663.08
  6. Step 6: Final answer
    x = 426,436.29

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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.