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Finding the Fourth Proportional to 384,064.86, 575,548.20 and 282,062.82

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Solution

The fourth proportional to 384,064.86, 575,548.20 and 282,062.82 is: 422,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064.86 : 575,548.20 = 282,062.82 : x
  2. Step 2: Convert to fraction form
    384,064.86/575,548.20 = 282,062.82/x
  3. Step 3: Cross multiply
    384,064.86x = 575,548.20 × 282,062.82
  4. Step 4: Simplify right side
    384,064.86x = 162,340,748,337.92
  5. Step 5: Solve for x
    x = 162,340,748,337.92/384,064.86
  6. Step 6: Final answer
    x = 422,690.97

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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.