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Finding the Fourth Proportional to 563,149.54, 776,951.61 and 427,041.70

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Solution

The fourth proportional to 563,149.54, 776,951.61 and 427,041.70 is: 589,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,149.54 : 776,951.61 = 427,041.70 : x
  2. Step 2: Convert to fraction form
    563,149.54/776,951.61 = 427,041.70/x
  3. Step 3: Cross multiply
    563,149.54x = 776,951.61 × 427,041.70
  4. Step 4: Simplify right side
    563,149.54x = 331,790,736,352.14
  5. Step 5: Solve for x
    x = 331,790,736,352.14/563,149.54
  6. Step 6: Final answer
    x = 589,169.86

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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.