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Finding the Fourth Proportional to 524,109.92, 786,164.40 and 164,283.36

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Solution

The fourth proportional to 524,109.92, 786,164.40 and 164,283.36 is: 246,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,109.92 : 786,164.40 = 164,283.36 : x
  2. Step 2: Convert to fraction form
    524,109.92/786,164.40 = 164,283.36/x
  3. Step 3: Cross multiply
    524,109.92x = 786,164.40 × 164,283.36
  4. Step 4: Simplify right side
    524,109.92x = 129,153,729,144.38
  5. Step 5: Solve for x
    x = 129,153,729,144.38/524,109.92
  6. Step 6: Final answer
    x = 246,424.89

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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.