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Finding the Fourth Proportional to 384,956.25, 577,532.84 and 160,242.00

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Solution

The fourth proportional to 384,956.25, 577,532.84 and 160,242.00 is: 240,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,956.25 : 577,532.84 = 160,242.00 : x
  2. Step 2: Convert to fraction form
    384,956.25/577,532.84 = 160,242.00/x
  3. Step 3: Cross multiply
    384,956.25x = 577,532.84 × 160,242.00
  4. Step 4: Simplify right side
    384,956.25x = 92,545,014,380.32
  5. Step 5: Solve for x
    x = 92,545,014,380.32/384,956.25
  6. Step 6: Final answer
    x = 240,403.98

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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.