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Finding the Fourth Proportional to 580,307.68, 870,361.20 and 153,846.32

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Solution

The fourth proportional to 580,307.68, 870,361.20 and 153,846.32 is: 230,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,307.68 : 870,361.20 = 153,846.32 : x
  2. Step 2: Convert to fraction form
    580,307.68/870,361.20 = 153,846.32/x
  3. Step 3: Cross multiply
    580,307.68x = 870,361.20 × 153,846.32
  4. Step 4: Simplify right side
    580,307.68x = 133,901,867,690.78
  5. Step 5: Solve for x
    x = 133,901,867,690.78/580,307.68
  6. Step 6: Final answer
    x = 230,742.88

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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.