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Finding the Fourth Proportional to 387,477.81, 534,698.82 and 217,701

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Solution

The fourth proportional to 387,477.81, 534,698.82 and 217,701 is: 300,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,477.81 : 534,698.82 = 217,701 : x
  2. Step 2: Convert to fraction form
    387,477.81/534,698.82 = 217,701/x
  3. Step 3: Cross multiply
    387,477.81x = 534,698.82 × 217,701
  4. Step 4: Simplify right side
    387,477.81x = 116,404,467,812.82
  5. Step 5: Solve for x
    x = 116,404,467,812.82/387,477.81
  6. Step 6: Final answer
    x = 300,415.83

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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.