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Finding the Fourth Proportional to 477,019.80, 715,085.01 and 161,255.88

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Solution

The fourth proportional to 477,019.80, 715,085.01 and 161,255.88 is: 241,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,019.80 : 715,085.01 = 161,255.88 : x
  2. Step 2: Convert to fraction form
    477,019.80/715,085.01 = 161,255.88/x
  3. Step 3: Cross multiply
    477,019.80x = 715,085.01 × 161,255.88
  4. Step 4: Simplify right side
    477,019.80x = 115,311,662,562.36
  5. Step 5: Solve for x
    x = 115,311,662,562.36/477,019.80
  6. Step 6: Final answer
    x = 241,733.49

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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.