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Finding the Fourth Proportional to 401,630.81, 602,150.97 and 191,416.37

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Solution

The fourth proportional to 401,630.81, 602,150.97 and 191,416.37 is: 286,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,630.81 : 602,150.97 = 191,416.37 : x
  2. Step 2: Convert to fraction form
    401,630.81/602,150.97 = 191,416.37/x
  3. Step 3: Cross multiply
    401,630.81x = 602,150.97 × 191,416.37
  4. Step 4: Simplify right side
    401,630.81x = 115,261,552,869.38
  5. Step 5: Solve for x
    x = 115,261,552,869.38/401,630.81
  6. Step 6: Final answer
    x = 286,983.84

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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.