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Finding the Fourth Proportional to 423,148.96, 634,724.13 and 149,798.57

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Solution

The fourth proportional to 423,148.96, 634,724.13 and 149,798.57 is: 224,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,148.96 : 634,724.13 = 149,798.57 : x
  2. Step 2: Convert to fraction form
    423,148.96/634,724.13 = 149,798.57/x
  3. Step 3: Cross multiply
    423,148.96x = 634,724.13 × 149,798.57
  4. Step 4: Simplify right side
    423,148.96x = 95,080,763,142.69
  5. Step 5: Solve for x
    x = 95,080,763,142.69/423,148.96
  6. Step 6: Final answer
    x = 224,698.09

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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.