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Finding the Fourth Proportional to 367,551.12, 507,214.54 and 204,204.08

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Solution

The fourth proportional to 367,551.12, 507,214.54 and 204,204.08 is: 281,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,551.12 : 507,214.54 = 204,204.08 : x
  2. Step 2: Convert to fraction form
    367,551.12/507,214.54 = 204,204.08/x
  3. Step 3: Cross multiply
    367,551.12x = 507,214.54 × 204,204.08
  4. Step 4: Simplify right side
    367,551.12x = 103,575,278,503.32
  5. Step 5: Solve for x
    x = 103,575,278,503.32/367,551.12
  6. Step 6: Final answer
    x = 281,798.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.