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Finding the Fourth Proportional to 650,175.76, 974,598.72 and 223,583.68

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Solution

The fourth proportional to 650,175.76, 974,598.72 and 223,583.68 is: 335,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,175.76 : 974,598.72 = 223,583.68 : x
  2. Step 2: Convert to fraction form
    650,175.76/974,598.72 = 223,583.68/x
  3. Step 3: Cross multiply
    650,175.76x = 974,598.72 × 223,583.68
  4. Step 4: Simplify right side
    650,175.76x = 217,904,368,340.89
  5. Step 5: Solve for x
    x = 217,904,368,340.89/650,175.76
  6. Step 6: Final answer
    x = 335,146.87

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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.