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Finding the Fourth Proportional to 320,427.20, 480,122.40 and 201,886.40

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Solution

The fourth proportional to 320,427.20, 480,122.40 and 201,886.40 is: 302,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,427.20 : 480,122.40 = 201,886.40 : x
  2. Step 2: Convert to fraction form
    320,427.20/480,122.40 = 201,886.40/x
  3. Step 3: Cross multiply
    320,427.20x = 480,122.40 × 201,886.40
  4. Step 4: Simplify right side
    320,427.20x = 96,930,182,895.36
  5. Step 5: Solve for x
    x = 96,930,182,895.36/320,427.20
  6. Step 6: Final answer
    x = 302,502.98

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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.