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Finding the Fourth Proportional to 417,563.10, 626,037.95 and 133,089.89

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Solution

The fourth proportional to 417,563.10, 626,037.95 and 133,089.89 is: 199,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,563.10 : 626,037.95 = 133,089.89 : x
  2. Step 2: Convert to fraction form
    417,563.10/626,037.95 = 133,089.89/x
  3. Step 3: Cross multiply
    417,563.10x = 626,037.95 × 133,089.89
  4. Step 4: Simplify right side
    417,563.10x = 83,319,319,103.86
  5. Step 5: Solve for x
    x = 83,319,319,103.86/417,563.10
  6. Step 6: Final answer
    x = 199,537.07

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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.