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Finding the Fourth Proportional to 467,455.84, 644,981.95 and 295,166.71

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Solution

The fourth proportional to 467,455.84, 644,981.95 and 295,166.71 is: 407,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,455.84 : 644,981.95 = 295,166.71 : x
  2. Step 2: Convert to fraction form
    467,455.84/644,981.95 = 295,166.71/x
  3. Step 3: Cross multiply
    467,455.84x = 644,981.95 × 295,166.71
  4. Step 4: Simplify right side
    467,455.84x = 190,377,195,490.14
  5. Step 5: Solve for x
    x = 190,377,195,490.14/467,455.84
  6. Step 6: Final answer
    x = 407,262.42

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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.