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Finding the Fourth Proportional to 472,093.14, 708,271.11 and 205,877.10

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Solution

The fourth proportional to 472,093.14, 708,271.11 and 205,877.10 is: 308,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,093.14 : 708,271.11 = 205,877.10 : x
  2. Step 2: Convert to fraction form
    472,093.14/708,271.11 = 205,877.10/x
  3. Step 3: Cross multiply
    472,093.14x = 708,271.11 × 205,877.10
  4. Step 4: Simplify right side
    472,093.14x = 145,816,802,140.58
  5. Step 5: Solve for x
    x = 145,816,802,140.58/472,093.14
  6. Step 6: Final answer
    x = 308,872.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.