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Finding the Fourth Proportional to 457,869.64, 631,850.27 and 264,262.16

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Solution

The fourth proportional to 457,869.64, 631,850.27 and 264,262.16 is: 364,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,869.64 : 631,850.27 = 264,262.16 : x
  2. Step 2: Convert to fraction form
    457,869.64/631,850.27 = 264,262.16/x
  3. Step 3: Cross multiply
    457,869.64x = 631,850.27 × 264,262.16
  4. Step 4: Simplify right side
    457,869.64x = 166,974,116,225.95
  5. Step 5: Solve for x
    x = 166,974,116,225.95/457,869.64
  6. Step 6: Final answer
    x = 364,676.11

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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.