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Finding the Fourth Proportional to 476,214.30, 657,155.16 and 261,358.02

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Solution

The fourth proportional to 476,214.30, 657,155.16 and 261,358.02 is: 360,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,214.30 : 657,155.16 = 261,358.02 : x
  2. Step 2: Convert to fraction form
    476,214.30/657,155.16 = 261,358.02/x
  3. Step 3: Cross multiply
    476,214.30x = 657,155.16 × 261,358.02
  4. Step 4: Simplify right side
    476,214.30x = 171,752,771,450.38
  5. Step 5: Solve for x
    x = 171,752,771,450.38/476,214.30
  6. Step 6: Final answer
    x = 360,662.78

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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.