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Finding the Fourth Proportional to 393,184.40, 542,777.14 and 296,427.41

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Solution

The fourth proportional to 393,184.40, 542,777.14 and 296,427.41 is: 409,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,184.40 : 542,777.14 = 296,427.41 : x
  2. Step 2: Convert to fraction form
    393,184.40/542,777.14 = 296,427.41/x
  3. Step 3: Cross multiply
    393,184.40x = 542,777.14 × 296,427.41
  4. Step 4: Simplify right side
    393,184.40x = 160,894,021,509.47
  5. Step 5: Solve for x
    x = 160,894,021,509.47/393,184.40
  6. Step 6: Final answer
    x = 409,207.55

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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.