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Finding the Fourth Proportional to 477,010.50, 715,516.97 and 144,586.50

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Solution

The fourth proportional to 477,010.50, 715,516.97 and 144,586.50 is: 216,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,010.50 : 715,516.97 = 144,586.50 : x
  2. Step 2: Convert to fraction form
    477,010.50/715,516.97 = 144,586.50/x
  3. Step 3: Cross multiply
    477,010.50x = 715,516.97 × 144,586.50
  4. Step 4: Simplify right side
    477,010.50x = 103,454,093,659.97
  5. Step 5: Solve for x
    x = 103,454,093,659.97/477,010.50
  6. Step 6: Final answer
    x = 216,880.12

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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.