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Finding the Fourth Proportional to 384,759.72, 577,345.90 and 160,275.24

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Solution

The fourth proportional to 384,759.72, 577,345.90 and 160,275.24 is: 240,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,759.72 : 577,345.90 = 160,275.24 : x
  2. Step 2: Convert to fraction form
    384,759.72/577,345.90 = 160,275.24/x
  3. Step 3: Cross multiply
    384,759.72x = 577,345.90 × 160,275.24
  4. Step 4: Simplify right side
    384,759.72x = 92,534,252,685.52
  5. Step 5: Solve for x
    x = 92,534,252,685.52/384,759.72
  6. Step 6: Final answer
    x = 240,498.80

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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.