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Finding the Fourth Proportional to 491,831.07, 737,772.76 and 154,898.07

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Solution

The fourth proportional to 491,831.07, 737,772.76 and 154,898.07 is: 232,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,831.07 : 737,772.76 = 154,898.07 : x
  2. Step 2: Convert to fraction form
    491,831.07/737,772.76 = 154,898.07/x
  3. Step 3: Cross multiply
    491,831.07x = 737,772.76 × 154,898.07
  4. Step 4: Simplify right side
    491,831.07x = 114,279,572,546.46
  5. Step 5: Solve for x
    x = 114,279,572,546.46/491,831.07
  6. Step 6: Final answer
    x = 232,355.34

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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.