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Finding the Fourth Proportional to 417,461.20, 626,537.40 and 193,166.80

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Solution

The fourth proportional to 417,461.20, 626,537.40 and 193,166.80 is: 289,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,461.20 : 626,537.40 = 193,166.80 : x
  2. Step 2: Convert to fraction form
    417,461.20/626,537.40 = 193,166.80/x
  3. Step 3: Cross multiply
    417,461.20x = 626,537.40 × 193,166.80
  4. Step 4: Simplify right side
    417,461.20x = 121,026,224,638.32
  5. Step 5: Solve for x
    x = 121,026,224,638.32/417,461.20
  6. Step 6: Final answer
    x = 289,910.12

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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.