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Finding the Fourth Proportional to 410,699.34, 616,048.62 and 154,579.74

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Solution

The fourth proportional to 410,699.34, 616,048.62 and 154,579.74 is: 231,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,699.34 : 616,048.62 = 154,579.74 : x
  2. Step 2: Convert to fraction form
    410,699.34/616,048.62 = 154,579.74/x
  3. Step 3: Cross multiply
    410,699.34x = 616,048.62 × 154,579.74
  4. Step 4: Simplify right side
    410,699.34x = 95,228,635,506.96
  5. Step 5: Solve for x
    x = 95,228,635,506.96/410,699.34
  6. Step 6: Final answer
    x = 231,869.46

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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.