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Finding the Fourth Proportional to 293,145.90, 411,233.70 and 293,145.90

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Solution

The fourth proportional to 293,145.90, 411,233.70 and 293,145.90 is: 411,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,145.90 : 411,233.70 = 293,145.90 : x
  2. Step 2: Convert to fraction form
    293,145.90/411,233.70 = 293,145.90/x
  3. Step 3: Cross multiply
    293,145.90x = 411,233.70 × 293,145.90
  4. Step 4: Simplify right side
    293,145.90x = 120,551,473,096.83
  5. Step 5: Solve for x
    x = 120,551,473,096.83/293,145.90
  6. Step 6: Final answer
    x = 411,233.70

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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.