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Finding the Fourth Proportional to 343,006.66, 514,400.91 and 320,617.54

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Solution

The fourth proportional to 343,006.66, 514,400.91 and 320,617.54 is: 480,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,006.66 : 514,400.91 = 320,617.54 : x
  2. Step 2: Convert to fraction form
    343,006.66/514,400.91 = 320,617.54/x
  3. Step 3: Cross multiply
    343,006.66x = 514,400.91 × 320,617.54
  4. Step 4: Simplify right side
    343,006.66x = 164,925,954,337.96
  5. Step 5: Solve for x
    x = 164,925,954,337.96/343,006.66
  6. Step 6: Final answer
    x = 480,824.35

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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.