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Finding the Fourth Proportional to 293,642.20, 412,032.20 and 293,642.20

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Solution

The fourth proportional to 293,642.20, 412,032.20 and 293,642.20 is: 412,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,642.20 : 412,032.20 = 293,642.20 : x
  2. Step 2: Convert to fraction form
    293,642.20/412,032.20 = 293,642.20/x
  3. Step 3: Cross multiply
    293,642.20x = 412,032.20 × 293,642.20
  4. Step 4: Simplify right side
    293,642.20x = 120,990,041,678.84
  5. Step 5: Solve for x
    x = 120,990,041,678.84/293,642.20
  6. Step 6: Final answer
    x = 412,032.20

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