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Finding the Fourth Proportional to 343,111.70, 514,667.55 and 323,866.10

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Solution

The fourth proportional to 343,111.70, 514,667.55 and 323,866.10 is: 485,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,111.70 : 514,667.55 = 323,866.10 : x
  2. Step 2: Convert to fraction form
    343,111.70/514,667.55 = 323,866.10/x
  3. Step 3: Cross multiply
    343,111.70x = 514,667.55 × 323,866.10
  4. Step 4: Simplify right side
    343,111.70x = 166,683,372,215.06
  5. Step 5: Solve for x
    x = 166,683,372,215.06/343,111.70
  6. Step 6: Final answer
    x = 485,799.15

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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.