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Finding the Fourth Proportional to 457,647.20, 686,276.40 and 221,062.40

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Solution

The fourth proportional to 457,647.20, 686,276.40 and 221,062.40 is: 331,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,647.20 : 686,276.40 = 221,062.40 : x
  2. Step 2: Convert to fraction form
    457,647.20/686,276.40 = 221,062.40/x
  3. Step 3: Cross multiply
    457,647.20x = 686,276.40 × 221,062.40
  4. Step 4: Simplify right side
    457,647.20x = 151,709,908,047.36
  5. Step 5: Solve for x
    x = 151,709,908,047.36/457,647.20
  6. Step 6: Final answer
    x = 331,499.70

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Why These Related Problems?

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