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Finding the Fourth Proportional to 477,480.27, 716,159.22 and 157,552.95

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Solution

The fourth proportional to 477,480.27, 716,159.22 and 157,552.95 is: 236,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,480.27 : 716,159.22 = 157,552.95 : x
  2. Step 2: Convert to fraction form
    477,480.27/716,159.22 = 157,552.95/x
  3. Step 3: Cross multiply
    477,480.27x = 716,159.22 × 157,552.95
  4. Step 4: Simplify right side
    477,480.27x = 112,832,997,780.70
  5. Step 5: Solve for x
    x = 112,832,997,780.70/477,480.27
  6. Step 6: Final answer
    x = 236,309.24

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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.