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Finding the Fourth Proportional to 477,916.54, 716,874.74 and 197,441.08

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Solution

The fourth proportional to 477,916.54, 716,874.74 and 197,441.08 is: 296,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,916.54 : 716,874.74 = 197,441.08 : x
  2. Step 2: Convert to fraction form
    477,916.54/716,874.74 = 197,441.08/x
  3. Step 3: Cross multiply
    477,916.54x = 716,874.74 × 197,441.08
  4. Step 4: Simplify right side
    477,916.54x = 141,540,522,890.32
  5. Step 5: Solve for x
    x = 141,540,522,890.32/477,916.54
  6. Step 6: Final answer
    x = 296,161.59

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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.