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Finding the Fourth Proportional to 343,722.46, 514,973.66 and 143,602.42

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Solution

The fourth proportional to 343,722.46, 514,973.66 and 143,602.42 is: 215,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,722.46 : 514,973.66 = 143,602.42 : x
  2. Step 2: Convert to fraction form
    343,722.46/514,973.66 = 143,602.42/x
  3. Step 3: Cross multiply
    343,722.46x = 514,973.66 × 143,602.42
  4. Step 4: Simplify right side
    343,722.46x = 73,951,463,812.26
  5. Step 5: Solve for x
    x = 73,951,463,812.26/343,722.46
  6. Step 6: Final answer
    x = 215,148.77

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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.