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Finding the Fourth Proportional to 413,904.10, 620,856.15 and 164,586.10

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Solution

The fourth proportional to 413,904.10, 620,856.15 and 164,586.10 is: 246,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,904.10 : 620,856.15 = 164,586.10 : x
  2. Step 2: Convert to fraction form
    413,904.10/620,856.15 = 164,586.10/x
  3. Step 3: Cross multiply
    413,904.10x = 620,856.15 × 164,586.10
  4. Step 4: Simplify right side
    413,904.10x = 102,184,292,389.52
  5. Step 5: Solve for x
    x = 102,184,292,389.52/413,904.10
  6. Step 6: Final answer
    x = 246,879.15

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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.