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Finding the Fourth Proportional to 293,132.40, 411,214.80 and 293,132.40

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Solution

The fourth proportional to 293,132.40, 411,214.80 and 293,132.40 is: 411,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,132.40 : 411,214.80 = 293,132.40 : x
  2. Step 2: Convert to fraction form
    293,132.40/411,214.80 = 293,132.40/x
  3. Step 3: Cross multiply
    293,132.40x = 411,214.80 × 293,132.40
  4. Step 4: Simplify right side
    293,132.40x = 120,540,381,239.52
  5. Step 5: Solve for x
    x = 120,540,381,239.52/293,132.40
  6. Step 6: Final answer
    x = 411,214.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.