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Finding the Fourth Proportional to 477,843.96, 716,876.88 and 157,976.53

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Solution

The fourth proportional to 477,843.96, 716,876.88 and 157,976.53 is: 237,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,843.96 : 716,876.88 = 157,976.53 : x
  2. Step 2: Convert to fraction form
    477,843.96/716,876.88 = 157,976.53/x
  3. Step 3: Cross multiply
    477,843.96x = 716,876.88 × 157,976.53
  4. Step 4: Simplify right side
    477,843.96x = 113,249,721,939.63
  5. Step 5: Solve for x
    x = 113,249,721,939.63/477,843.96
  6. Step 6: Final answer
    x = 237,001.47

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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.