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Finding the Fourth Proportional to 477,132.96, 715,254.48 and 161,370.12

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Solution

The fourth proportional to 477,132.96, 715,254.48 and 161,370.12 is: 241,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,132.96 : 715,254.48 = 161,370.12 : x
  2. Step 2: Convert to fraction form
    477,132.96/715,254.48 = 161,370.12/x
  3. Step 3: Cross multiply
    477,132.96x = 715,254.48 × 161,370.12
  4. Step 4: Simplify right side
    477,132.96x = 115,420,701,268.14
  5. Step 5: Solve for x
    x = 115,420,701,268.14/477,132.96
  6. Step 6: Final answer
    x = 241,904.69

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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.