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Finding the Fourth Proportional to 343,648.74, 514,802.60 and 224,960.25

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Solution

The fourth proportional to 343,648.74, 514,802.60 and 224,960.25 is: 337,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,648.74 : 514,802.60 = 224,960.25 : x
  2. Step 2: Convert to fraction form
    343,648.74/514,802.60 = 224,960.25/x
  3. Step 3: Cross multiply
    343,648.74x = 514,802.60 × 224,960.25
  4. Step 4: Simplify right side
    343,648.74x = 115,810,121,596.65
  5. Step 5: Solve for x
    x = 115,810,121,596.65/343,648.74
  6. Step 6: Final answer
    x = 337,001.44

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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.