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Finding the Fourth Proportional to 342,994.01, 514,491.30 and 143,205.48

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Solution

The fourth proportional to 342,994.01, 514,491.30 and 143,205.48 is: 214,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,994.01 : 514,491.30 = 143,205.48 : x
  2. Step 2: Convert to fraction form
    342,994.01/514,491.30 = 143,205.48/x
  3. Step 3: Cross multiply
    342,994.01x = 514,491.30 × 143,205.48
  4. Step 4: Simplify right side
    342,994.01x = 73,677,973,572.32
  5. Step 5: Solve for x
    x = 73,677,973,572.32/342,994.01
  6. Step 6: Final answer
    x = 214,808.34

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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.