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Finding the Fourth Proportional to 293,025.40, 439,538.10 and 71,409.40

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Solution

The fourth proportional to 293,025.40, 439,538.10 and 71,409.40 is: 107,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025.40 : 439,538.10 = 71,409.40 : x
  2. Step 2: Convert to fraction form
    293,025.40/439,538.10 = 71,409.40/x
  3. Step 3: Cross multiply
    293,025.40x = 439,538.10 × 71,409.40
  4. Step 4: Simplify right side
    293,025.40x = 31,387,151,998.14
  5. Step 5: Solve for x
    x = 31,387,151,998.14/293,025.40
  6. Step 6: Final answer
    x = 107,114.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.