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Finding the Fourth Proportional to 477,475.92, 716,160.48 and 122,498.40

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Solution

The fourth proportional to 477,475.92, 716,160.48 and 122,498.40 is: 183,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,475.92 : 716,160.48 = 122,498.40 : x
  2. Step 2: Convert to fraction form
    477,475.92/716,160.48 = 122,498.40/x
  3. Step 3: Cross multiply
    477,475.92x = 716,160.48 × 122,498.40
  4. Step 4: Simplify right side
    477,475.92x = 87,728,512,943.23
  5. Step 5: Solve for x
    x = 87,728,512,943.23/477,475.92
  6. Step 6: Final answer
    x = 183,733.90

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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.