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Finding the Fourth Proportional to 382,893.32, 574,339.80 and 146,259.92

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Solution

The fourth proportional to 382,893.32, 574,339.80 and 146,259.92 is: 219,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,893.32 : 574,339.80 = 146,259.92 : x
  2. Step 2: Convert to fraction form
    382,893.32/574,339.80 = 146,259.92/x
  3. Step 3: Cross multiply
    382,893.32x = 574,339.80 × 146,259.92
  4. Step 4: Simplify right side
    382,893.32x = 84,002,893,200.82
  5. Step 5: Solve for x
    x = 84,002,893,200.82/382,893.32
  6. Step 6: Final answer
    x = 219,389.81

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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.