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Finding the Fourth Proportional to 549,171.10, 823,732.05 and 149,810.59

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Solution

The fourth proportional to 549,171.10, 823,732.05 and 149,810.59 is: 224,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,171.10 : 823,732.05 = 149,810.59 : x
  2. Step 2: Convert to fraction form
    549,171.10/823,732.05 = 149,810.59/x
  3. Step 3: Cross multiply
    549,171.10x = 823,732.05 × 149,810.59
  4. Step 4: Simplify right side
    549,171.10x = 123,403,784,412.41
  5. Step 5: Solve for x
    x = 123,403,784,412.41/549,171.10
  6. Step 6: Final answer
    x = 224,709.17

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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.