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Finding the Fourth Proportional to 477,007.23, 715,543.97 and 161,357.43

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Solution

The fourth proportional to 477,007.23, 715,543.97 and 161,357.43 is: 242,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,007.23 : 715,543.97 = 161,357.43 : x
  2. Step 2: Convert to fraction form
    477,007.23/715,543.97 = 161,357.43/x
  3. Step 3: Cross multiply
    477,007.23x = 715,543.97 × 161,357.43
  4. Step 4: Simplify right side
    477,007.23x = 115,458,335,244.41
  5. Step 5: Solve for x
    x = 115,458,335,244.41/477,007.23
  6. Step 6: Final answer
    x = 242,047.35

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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.