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Finding the Fourth Proportional to 477,391.76, 716,110.01 and 157,571.54

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Solution

The fourth proportional to 477,391.76, 716,110.01 and 157,571.54 is: 236,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,391.76 : 716,110.01 = 157,571.54 : x
  2. Step 2: Convert to fraction form
    477,391.76/716,110.01 = 157,571.54/x
  3. Step 3: Cross multiply
    477,391.76x = 716,110.01 × 157,571.54
  4. Step 4: Simplify right side
    477,391.76x = 112,838,553,898.49
  5. Step 5: Solve for x
    x = 112,838,553,898.49/477,391.76
  6. Step 6: Final answer
    x = 236,364.69

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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.