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Finding the Fourth Proportional to 475,928.28, 713,641.14 and 251,409.24

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Solution

The fourth proportional to 475,928.28, 713,641.14 and 251,409.24 is: 376,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,928.28 : 713,641.14 = 251,409.24 : x
  2. Step 2: Convert to fraction form
    475,928.28/713,641.14 = 251,409.24/x
  3. Step 3: Cross multiply
    475,928.28x = 713,641.14 × 251,409.24
  4. Step 4: Simplify right side
    475,928.28x = 179,415,976,640.13
  5. Step 5: Solve for x
    x = 179,415,976,640.13/475,928.28
  6. Step 6: Final answer
    x = 376,981.12

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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.