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Finding the Fourth Proportional to 401,610.92, 602,472.74 and 117,322.34

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Solution

The fourth proportional to 401,610.92, 602,472.74 and 117,322.34 is: 175,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,610.92 : 602,472.74 = 117,322.34 : x
  2. Step 2: Convert to fraction form
    401,610.92/602,472.74 = 117,322.34/x
  3. Step 3: Cross multiply
    401,610.92x = 602,472.74 × 117,322.34
  4. Step 4: Simplify right side
    401,610.92x = 70,683,508,044.04
  5. Step 5: Solve for x
    x = 70,683,508,044.04/401,610.92
  6. Step 6: Final answer
    x = 175,999.97

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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.