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Finding the Fourth Proportional to 551,953.68, 828,251.76 and 232,082.40

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Solution

The fourth proportional to 551,953.68, 828,251.76 and 232,082.40 is: 348,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,953.68 : 828,251.76 = 232,082.40 : x
  2. Step 2: Convert to fraction form
    551,953.68/828,251.76 = 232,082.40/x
  3. Step 3: Cross multiply
    551,953.68x = 828,251.76 × 232,082.40
  4. Step 4: Simplify right side
    551,953.68x = 192,222,656,265.02
  5. Step 5: Solve for x
    x = 192,222,656,265.02/551,953.68
  6. Step 6: Final answer
    x = 348,258.67

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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.