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Finding the Fourth Proportional to 456,162.16, 684,863.76 and 256,622.98

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Solution

The fourth proportional to 456,162.16, 684,863.76 and 256,622.98 is: 385,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,162.16 : 684,863.76 = 256,622.98 : x
  2. Step 2: Convert to fraction form
    456,162.16/684,863.76 = 256,622.98/x
  3. Step 3: Cross multiply
    456,162.16x = 684,863.76 × 256,622.98
  4. Step 4: Simplify right side
    456,162.16x = 175,751,778,985.21
  5. Step 5: Solve for x
    x = 175,751,778,985.21/456,162.16
  6. Step 6: Final answer
    x = 385,283.56

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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.