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Finding the Fourth Proportional to 413,580.20, 620,370.30 and 133,097.45

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Solution

The fourth proportional to 413,580.20, 620,370.30 and 133,097.45 is: 199,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,580.20 : 620,370.30 = 133,097.45 : x
  2. Step 2: Convert to fraction form
    413,580.20/620,370.30 = 133,097.45/x
  3. Step 3: Cross multiply
    413,580.20x = 620,370.30 × 133,097.45
  4. Step 4: Simplify right side
    413,580.20x = 82,569,704,985.74
  5. Step 5: Solve for x
    x = 82,569,704,985.74/413,580.20
  6. Step 6: Final answer
    x = 199,646.18

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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.