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Finding the Fourth Proportional to 563,115.69, 776,476.97 and 358,843.05

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Solution

The fourth proportional to 563,115.69, 776,476.97 and 358,843.05 is: 494,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,115.69 : 776,476.97 = 358,843.05 : x
  2. Step 2: Convert to fraction form
    563,115.69/776,476.97 = 358,843.05/x
  3. Step 3: Cross multiply
    563,115.69x = 776,476.97 × 358,843.05
  4. Step 4: Simplify right side
    563,115.69x = 278,633,362,375.34
  5. Step 5: Solve for x
    x = 278,633,362,375.34/563,115.69
  6. Step 6: Final answer
    x = 494,806.60

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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.