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Finding the Fourth Proportional to 463,856.40, 695,711.70 and 164,294.10

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Solution

The fourth proportional to 463,856.40, 695,711.70 and 164,294.10 is: 246,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,856.40 : 695,711.70 = 164,294.10 : x
  2. Step 2: Convert to fraction form
    463,856.40/695,711.70 = 164,294.10/x
  3. Step 3: Cross multiply
    463,856.40x = 695,711.70 × 164,294.10
  4. Step 4: Simplify right side
    463,856.40x = 114,301,327,610.97
  5. Step 5: Solve for x
    x = 114,301,327,610.97/463,856.40
  6. Step 6: Final answer
    x = 246,415.33

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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.