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Finding the Fourth Proportional to 363,214.32, 501,242.76 and 212,398.80

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Solution

The fourth proportional to 363,214.32, 501,242.76 and 212,398.80 is: 293,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,214.32 : 501,242.76 = 212,398.80 : x
  2. Step 2: Convert to fraction form
    363,214.32/501,242.76 = 212,398.80/x
  3. Step 3: Cross multiply
    363,214.32x = 501,242.76 × 212,398.80
  4. Step 4: Simplify right side
    363,214.32x = 106,463,360,732.69
  5. Step 5: Solve for x
    x = 106,463,360,732.69/363,214.32
  6. Step 6: Final answer
    x = 293,114.44

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1.5x scale

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.