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Finding the Fourth Proportional to 512,158.32, 767,991.60 and 242,061.48

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Solution

The fourth proportional to 512,158.32, 767,991.60 and 242,061.48 is: 362,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,158.32 : 767,991.60 = 242,061.48 : x
  2. Step 2: Convert to fraction form
    512,158.32/767,991.60 = 242,061.48/x
  3. Step 3: Cross multiply
    512,158.32x = 767,991.60 × 242,061.48
  4. Step 4: Simplify right side
    512,158.32x = 185,901,183,323.57
  5. Step 5: Solve for x
    x = 185,901,183,323.57/512,158.32
  6. Step 6: Final answer
    x = 362,976.01

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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.