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Finding the Fourth Proportional to 314,650.07, 434,216.50 and 171,410.07

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Solution

The fourth proportional to 314,650.07, 434,216.50 and 171,410.07 is: 236,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,650.07 : 434,216.50 = 171,410.07 : x
  2. Step 2: Convert to fraction form
    314,650.07/434,216.50 = 171,410.07/x
  3. Step 3: Cross multiply
    314,650.07x = 434,216.50 × 171,410.07
  4. Step 4: Simplify right side
    314,650.07x = 74,429,081,859.94
  5. Step 5: Solve for x
    x = 74,429,081,859.94/314,650.07
  6. Step 6: Final answer
    x = 236,545.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.