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Finding the Fourth Proportional to 400,329.74, 600,731.76 and 147,786.32

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Solution

The fourth proportional to 400,329.74, 600,731.76 and 147,786.32 is: 221,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,329.74 : 600,731.76 = 147,786.32 : x
  2. Step 2: Convert to fraction form
    400,329.74/600,731.76 = 147,786.32/x
  3. Step 3: Cross multiply
    400,329.74x = 600,731.76 × 147,786.32
  4. Step 4: Simplify right side
    400,329.74x = 88,779,936,117.52
  5. Step 5: Solve for x
    x = 88,779,936,117.52/400,329.74
  6. Step 6: Final answer
    x = 221,767.03

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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.