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Finding the Fourth Proportional to 323,516.34, 484,831.62 and 205,270.74

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Solution

The fourth proportional to 323,516.34, 484,831.62 and 205,270.74 is: 307,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,516.34 : 484,831.62 = 205,270.74 : x
  2. Step 2: Convert to fraction form
    323,516.34/484,831.62 = 205,270.74/x
  3. Step 3: Cross multiply
    323,516.34x = 484,831.62 × 205,270.74
  4. Step 4: Simplify right side
    323,516.34x = 99,521,745,412.80
  5. Step 5: Solve for x
    x = 99,521,745,412.80/323,516.34
  6. Step 6: Final answer
    x = 307,625.10

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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.