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Finding the Fourth Proportional to 474,271.46, 654,708.11 and 302,419.76

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Solution

The fourth proportional to 474,271.46, 654,708.11 and 302,419.76 is: 417,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,271.46 : 654,708.11 = 302,419.76 : x
  2. Step 2: Convert to fraction form
    474,271.46/654,708.11 = 302,419.76/x
  3. Step 3: Cross multiply
    474,271.46x = 654,708.11 × 302,419.76
  4. Step 4: Simplify right side
    474,271.46x = 197,996,669,620.93
  5. Step 5: Solve for x
    x = 197,996,669,620.93/474,271.46
  6. Step 6: Final answer
    x = 417,475.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.