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Finding the Fourth Proportional to 524,110.92, 786,165.90 and 164,284.36

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Solution

The fourth proportional to 524,110.92, 786,165.90 and 164,284.36 is: 246,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,110.92 : 786,165.90 = 164,284.36 : x
  2. Step 2: Convert to fraction form
    524,110.92/786,165.90 = 164,284.36/x
  3. Step 3: Cross multiply
    524,110.92x = 786,165.90 × 164,284.36
  4. Step 4: Simplify right side
    524,110.92x = 129,154,761,735.32
  5. Step 5: Solve for x
    x = 129,154,761,735.32/524,110.92
  6. Step 6: Final answer
    x = 246,426.39

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1.5x scale

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.