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Finding the Fourth Proportional to 549,045, 823,542.84 and 149,685.48

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Solution

The fourth proportional to 549,045, 823,542.84 and 149,685.48 is: 224,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,045 : 823,542.84 = 149,685.48 : x
  2. Step 2: Convert to fraction form
    549,045/823,542.84 = 149,685.48/x
  3. Step 3: Cross multiply
    549,045x = 823,542.84 × 149,685.48
  4. Step 4: Simplify right side
    549,045x = 123,272,405,305.96
  5. Step 5: Solve for x
    x = 123,272,405,305.96/549,045
  6. Step 6: Final answer
    x = 224,521.50

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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.