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Finding the Fourth Proportional to 549,101.55, 823,459.29 and 164,735.79

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Solution

The fourth proportional to 549,101.55, 823,459.29 and 164,735.79 is: 247,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,101.55 : 823,459.29 = 164,735.79 : x
  2. Step 2: Convert to fraction form
    549,101.55/823,459.29 = 164,735.79/x
  3. Step 3: Cross multiply
    549,101.55x = 823,459.29 × 164,735.79
  4. Step 4: Simplify right side
    549,101.55x = 135,653,216,670.99
  5. Step 5: Solve for x
    x = 135,653,216,670.99/549,101.55
  6. Step 6: Final answer
    x = 247,045.77

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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.