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Finding the Fourth Proportional to 514,828.67, 709,676.01 and 361,436.54

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Solution

The fourth proportional to 514,828.67, 709,676.01 and 361,436.54 is: 498,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,828.67 : 709,676.01 = 361,436.54 : x
  2. Step 2: Convert to fraction form
    514,828.67/709,676.01 = 361,436.54/x
  3. Step 3: Cross multiply
    514,828.67x = 709,676.01 × 361,436.54
  4. Step 4: Simplify right side
    514,828.67x = 256,502,841,575.41
  5. Step 5: Solve for x
    x = 256,502,841,575.41/514,828.67
  6. Step 6: Final answer
    x = 498,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.