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Finding the Fourth Proportional to 1,238,523.30, 1,731,833.10 and 1,238,523.30

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Solution

The fourth proportional to 1,238,523.30, 1,731,833.10 and 1,238,523.30 is: 1,731,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,523.30 : 1,731,833.10 = 1,238,523.30 : x
  2. Step 2: Convert to fraction form
    1,238,523.30/1,731,833.10 = 1,238,523.30/x
  3. Step 3: Cross multiply
    1,238,523.30x = 1,731,833.10 × 1,238,523.30
  4. Step 4: Simplify right side
    1,238,523.30x = 2,144,915,646,061.23
  5. Step 5: Solve for x
    x = 2,144,915,646,061.23/1,238,523.30
  6. Step 6: Final answer
    x = 1,731,833.10

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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.