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Finding the Fourth Proportional to 477,032.22, 715,677.39 and 161,489.16

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Solution

The fourth proportional to 477,032.22, 715,677.39 and 161,489.16 is: 242,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,032.22 : 715,677.39 = 161,489.16 : x
  2. Step 2: Convert to fraction form
    477,032.22/715,677.39 = 161,489.16/x
  3. Step 3: Cross multiply
    477,032.22x = 715,677.39 × 161,489.16
  4. Step 4: Simplify right side
    477,032.22x = 115,574,140,542.09
  5. Step 5: Solve for x
    x = 115,574,140,542.09/477,032.22
  6. Step 6: Final answer
    x = 242,277.43

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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.