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Finding the Fourth Proportional to 456,161.16, 684,862.26 and 256,621.98

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Solution

The fourth proportional to 456,161.16, 684,862.26 and 256,621.98 is: 385,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,161.16 : 684,862.26 = 256,621.98 : x
  2. Step 2: Convert to fraction form
    456,161.16/684,862.26 = 256,621.98/x
  3. Step 3: Cross multiply
    456,161.16x = 684,862.26 × 256,621.98
  4. Step 4: Simplify right side
    456,161.16x = 175,750,709,188.48
  5. Step 5: Solve for x
    x = 175,750,709,188.48/456,161.16
  6. Step 6: Final answer
    x = 385,282.06

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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.