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Finding the Fourth Proportional to 417,751.40, 626,627.10 and 137,277.80

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Solution

The fourth proportional to 417,751.40, 626,627.10 and 137,277.80 is: 205,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,751.40 : 626,627.10 = 137,277.80 : x
  2. Step 2: Convert to fraction form
    417,751.40/626,627.10 = 137,277.80/x
  3. Step 3: Cross multiply
    417,751.40x = 626,627.10 × 137,277.80
  4. Step 4: Simplify right side
    417,751.40x = 86,021,989,708.38
  5. Step 5: Solve for x
    x = 86,021,989,708.38/417,751.40
  6. Step 6: Final answer
    x = 205,916.70

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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.