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Finding the Fourth Proportional to 404,909.64, 607,302.24 and 135,042.54

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Solution

The fourth proportional to 404,909.64, 607,302.24 and 135,042.54 is: 202,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,909.64 : 607,302.24 = 135,042.54 : x
  2. Step 2: Convert to fraction form
    404,909.64/607,302.24 = 135,042.54/x
  3. Step 3: Cross multiply
    404,909.64x = 607,302.24 × 135,042.54
  4. Step 4: Simplify right side
    404,909.64x = 82,011,637,037.29
  5. Step 5: Solve for x
    x = 82,011,637,037.29/404,909.64
  6. Step 6: Final answer
    x = 202,543.06

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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.