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Finding the Fourth Proportional to 457,548.14, 686,561.52 and 332,223.60

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Solution

The fourth proportional to 457,548.14, 686,561.52 and 332,223.60 is: 498,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,548.14 : 686,561.52 = 332,223.60 : x
  2. Step 2: Convert to fraction form
    457,548.14/686,561.52 = 332,223.60/x
  3. Step 3: Cross multiply
    457,548.14x = 686,561.52 × 332,223.60
  4. Step 4: Simplify right side
    457,548.14x = 228,091,939,795.87
  5. Step 5: Solve for x
    x = 228,091,939,795.87/457,548.14
  6. Step 6: Final answer
    x = 498,509.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.