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Finding the Fourth Proportional to 482,833.61, 724,250.37 and 257,511.41

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Solution

The fourth proportional to 482,833.61, 724,250.37 and 257,511.41 is: 386,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,833.61 : 724,250.37 = 257,511.41 : x
  2. Step 2: Convert to fraction form
    482,833.61/724,250.37 = 257,511.41/x
  3. Step 3: Cross multiply
    482,833.61x = 724,250.37 × 257,511.41
  4. Step 4: Simplify right side
    482,833.61x = 186,502,733,971.72
  5. Step 5: Solve for x
    x = 186,502,733,971.72/482,833.61
  6. Step 6: Final answer
    x = 386,267.09

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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.