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Finding the Fourth Proportional to 475,838.96, 713,532.52 and 276,220.56

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Solution

The fourth proportional to 475,838.96, 713,532.52 and 276,220.56 is: 414,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,838.96 : 713,532.52 = 276,220.56 : x
  2. Step 2: Convert to fraction form
    475,838.96/713,532.52 = 276,220.56/x
  3. Step 3: Cross multiply
    475,838.96x = 713,532.52 × 276,220.56
  4. Step 4: Simplify right side
    475,838.96x = 197,092,352,252.61
  5. Step 5: Solve for x
    x = 197,092,352,252.61/475,838.96
  6. Step 6: Final answer
    x = 414,199.70

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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.