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Finding the Fourth Proportional to 457,652.16, 631,429.43 and 264,044.54

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Solution

The fourth proportional to 457,652.16, 631,429.43 and 264,044.54 is: 364,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,652.16 : 631,429.43 = 264,044.54 : x
  2. Step 2: Convert to fraction form
    457,652.16/631,429.43 = 264,044.54/x
  3. Step 3: Cross multiply
    457,652.16x = 631,429.43 × 264,044.54
  4. Step 4: Simplify right side
    457,652.16x = 166,725,493,645.16
  5. Step 5: Solve for x
    x = 166,725,493,645.16/457,652.16
  6. Step 6: Final answer
    x = 364,306.14

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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.