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Finding the Fourth Proportional to 563,107.14, 777,103.61 and 342,344.07

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Solution

The fourth proportional to 563,107.14, 777,103.61 and 342,344.07 is: 472,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,107.14 : 777,103.61 = 342,344.07 : x
  2. Step 2: Convert to fraction form
    563,107.14/777,103.61 = 342,344.07/x
  3. Step 3: Cross multiply
    563,107.14x = 777,103.61 × 342,344.07
  4. Step 4: Simplify right side
    563,107.14x = 266,036,810,947.37
  5. Step 5: Solve for x
    x = 266,036,810,947.37/563,107.14
  6. Step 6: Final answer
    x = 472,444.39

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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.