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Finding the Fourth Proportional to 476,572.64, 657,644.64 and 261,741.92

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Solution

The fourth proportional to 476,572.64, 657,644.64 and 261,741.92 is: 361,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,572.64 : 657,644.64 = 261,741.92 : x
  2. Step 2: Convert to fraction form
    476,572.64/657,644.64 = 261,741.92/x
  3. Step 3: Cross multiply
    476,572.64x = 657,644.64 × 261,741.92
  4. Step 4: Simplify right side
    476,572.64x = 172,133,170,751.31
  5. Step 5: Solve for x
    x = 172,133,170,751.31/476,572.64
  6. Step 6: Final answer
    x = 361,189.79

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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.