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Finding the Fourth Proportional to 363,784.50, 502,022.61 and 212,881.50

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Solution

The fourth proportional to 363,784.50, 502,022.61 and 212,881.50 is: 293,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,784.50 : 502,022.61 = 212,881.50 : x
  2. Step 2: Convert to fraction form
    363,784.50/502,022.61 = 212,881.50/x
  3. Step 3: Cross multiply
    363,784.50x = 502,022.61 × 212,881.50
  4. Step 4: Simplify right side
    363,784.50x = 106,871,326,250.72
  5. Step 5: Solve for x
    x = 106,871,326,250.72/363,784.50
  6. Step 6: Final answer
    x = 293,776.47

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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.