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Finding the Fourth Proportional to 413,448.83, 619,269.06 and 293,141.11

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Solution

The fourth proportional to 413,448.83, 619,269.06 and 293,141.11 is: 439,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,448.83 : 619,269.06 = 293,141.11 : x
  2. Step 2: Convert to fraction form
    413,448.83/619,269.06 = 293,141.11/x
  3. Step 3: Cross multiply
    413,448.83x = 619,269.06 × 293,141.11
  4. Step 4: Simplify right side
    413,448.83x = 181,533,217,806.33
  5. Step 5: Solve for x
    x = 181,533,217,806.33/413,448.83
  6. Step 6: Final answer
    x = 439,070.58

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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.