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Finding the Fourth Proportional to 293,376.10, 440,064.15 and 188,400.10

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Solution

The fourth proportional to 293,376.10, 440,064.15 and 188,400.10 is: 282,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,376.10 : 440,064.15 = 188,400.10 : x
  2. Step 2: Convert to fraction form
    293,376.10/440,064.15 = 188,400.10/x
  3. Step 3: Cross multiply
    293,376.10x = 440,064.15 × 188,400.10
  4. Step 4: Simplify right side
    293,376.10x = 82,908,129,866.42
  5. Step 5: Solve for x
    x = 82,908,129,866.42/293,376.10
  6. Step 6: Final answer
    x = 282,600.15

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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.