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Finding the Fourth Proportional to 502,039.62, 753,085.74 and 382,284.41

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Solution

The fourth proportional to 502,039.62, 753,085.74 and 382,284.41 is: 573,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,039.62 : 753,085.74 = 382,284.41 : x
  2. Step 2: Convert to fraction form
    502,039.62/753,085.74 = 382,284.41/x
  3. Step 3: Cross multiply
    502,039.62x = 753,085.74 × 382,284.41
  4. Step 4: Simplify right side
    502,039.62x = 287,892,934,029.89
  5. Step 5: Solve for x
    x = 287,892,934,029.89/502,039.62
  6. Step 6: Final answer
    x = 573,446.64

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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.