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Finding the Fourth Proportional to 817,170.76, 1,225,756.14 and 256,249

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Solution

The fourth proportional to 817,170.76, 1,225,756.14 and 256,249 is: 384,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,170.76 : 1,225,756.14 = 256,249 : x
  2. Step 2: Convert to fraction form
    817,170.76/1,225,756.14 = 256,249/x
  3. Step 3: Cross multiply
    817,170.76x = 1,225,756.14 × 256,249
  4. Step 4: Simplify right side
    817,170.76x = 314,098,785,118.86
  5. Step 5: Solve for x
    x = 314,098,785,118.86/817,170.76
  6. Step 6: Final answer
    x = 384,373.50

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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.