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Finding the Fourth Proportional to 343,802.89, 515,809.92 and 164,117.62

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Solution

The fourth proportional to 343,802.89, 515,809.92 and 164,117.62 is: 246,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,802.89 : 515,809.92 = 164,117.62 : x
  2. Step 2: Convert to fraction form
    343,802.89/515,809.92 = 164,117.62/x
  3. Step 3: Cross multiply
    343,802.89x = 515,809.92 × 164,117.62
  4. Step 4: Simplify right side
    343,802.89x = 84,653,496,442.79
  5. Step 5: Solve for x
    x = 84,653,496,442.79/343,802.89
  6. Step 6: Final answer
    x = 246,226.83

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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.