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Finding the Fourth Proportional to 356,782.14, 535,262.40 and 251,806.14

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Solution

The fourth proportional to 356,782.14, 535,262.40 and 251,806.14 is: 377,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,782.14 : 535,262.40 = 251,806.14 : x
  2. Step 2: Convert to fraction form
    356,782.14/535,262.40 = 251,806.14/x
  3. Step 3: Cross multiply
    356,782.14x = 535,262.40 × 251,806.14
  4. Step 4: Simplify right side
    356,782.14x = 134,782,358,831.14
  5. Step 5: Solve for x
    x = 134,782,358,831.14/356,782.14
  6. Step 6: Final answer
    x = 377,772.16

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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.