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Finding the Fourth Proportional to 333,809.54, 500,714.67 and 84,491.54

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Solution

The fourth proportional to 333,809.54, 500,714.67 and 84,491.54 is: 126,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,809.54 : 500,714.67 = 84,491.54 : x
  2. Step 2: Convert to fraction form
    333,809.54/500,714.67 = 84,491.54/x
  3. Step 3: Cross multiply
    333,809.54x = 500,714.67 × 84,491.54
  4. Step 4: Simplify right side
    333,809.54x = 42,306,153,568.89
  5. Step 5: Solve for x
    x = 42,306,153,568.89/333,809.54
  6. Step 6: Final answer
    x = 126,737.40

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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.