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Finding the Fourth Proportional to 468,703.72, 703,088.46 and 188,221

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Solution

The fourth proportional to 468,703.72, 703,088.46 and 188,221 is: 282,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,703.72 : 703,088.46 = 188,221 : x
  2. Step 2: Convert to fraction form
    468,703.72/703,088.46 = 188,221/x
  3. Step 3: Cross multiply
    468,703.72x = 703,088.46 × 188,221
  4. Step 4: Simplify right side
    468,703.72x = 132,336,013,029.66
  5. Step 5: Solve for x
    x = 132,336,013,029.66/468,703.72
  6. Step 6: Final answer
    x = 282,344.70

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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.