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Finding the Fourth Proportional to 413,520.90, 620,389.35 and 133,044.90

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Solution

The fourth proportional to 413,520.90, 620,389.35 and 133,044.90 is: 199,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,520.90 : 620,389.35 = 133,044.90 : x
  2. Step 2: Convert to fraction form
    413,520.90/620,389.35 = 133,044.90/x
  3. Step 3: Cross multiply
    413,520.90x = 620,389.35 × 133,044.90
  4. Step 4: Simplify right side
    413,520.90x = 82,539,639,031.82
  5. Step 5: Solve for x
    x = 82,539,639,031.82/413,520.90
  6. Step 6: Final answer
    x = 199,602.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.