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Finding the Fourth Proportional to 413,487.66, 619,837.83 and 132,808.14

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Solution

The fourth proportional to 413,487.66, 619,837.83 and 132,808.14 is: 199,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,487.66 : 619,837.83 = 132,808.14 : x
  2. Step 2: Convert to fraction form
    413,487.66/619,837.83 = 132,808.14/x
  3. Step 3: Cross multiply
    413,487.66x = 619,837.83 × 132,808.14
  4. Step 4: Simplify right side
    413,487.66x = 82,319,509,303.94
  5. Step 5: Solve for x
    x = 82,319,509,303.94/413,487.66
  6. Step 6: Final answer
    x = 199,085.77

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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.