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Finding the Fourth Proportional to 404,904.16, 607,293.90 and 135,037

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Solution

The fourth proportional to 404,904.16, 607,293.90 and 135,037 is: 202,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,904.16 : 607,293.90 = 135,037 : x
  2. Step 2: Convert to fraction form
    404,904.16/607,293.90 = 135,037/x
  3. Step 3: Cross multiply
    404,904.16x = 607,293.90 × 135,037
  4. Step 4: Simplify right side
    404,904.16x = 82,007,146,374.30
  5. Step 5: Solve for x
    x = 82,007,146,374.30/404,904.16
  6. Step 6: Final answer
    x = 202,534.71

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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.