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Finding the Fourth Proportional to 549,107.40, 823,661.10 and 194,118.60

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Solution

The fourth proportional to 549,107.40, 823,661.10 and 194,118.60 is: 291,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,107.40 : 823,661.10 = 194,118.60 : x
  2. Step 2: Convert to fraction form
    549,107.40/823,661.10 = 194,118.60/x
  3. Step 3: Cross multiply
    549,107.40x = 823,661.10 × 194,118.60
  4. Step 4: Simplify right side
    549,107.40x = 159,887,939,606.46
  5. Step 5: Solve for x
    x = 159,887,939,606.46/549,107.40
  6. Step 6: Final answer
    x = 291,177.90

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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.