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Finding the Fourth Proportional to 338,522.23, 507,980.17 and 267,007.33

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Solution

The fourth proportional to 338,522.23, 507,980.17 and 267,007.33 is: 400,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,522.23 : 507,980.17 = 267,007.33 : x
  2. Step 2: Convert to fraction form
    338,522.23/507,980.17 = 267,007.33/x
  3. Step 3: Cross multiply
    338,522.23x = 507,980.17 × 267,007.33
  4. Step 4: Simplify right side
    338,522.23x = 135,634,425,009.71
  5. Step 5: Solve for x
    x = 135,634,425,009.71/338,522.23
  6. Step 6: Final answer
    x = 400,666.23

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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.