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Finding the Fourth Proportional to 431,274.40, 646,082.47 and 241,158.14

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Solution

The fourth proportional to 431,274.40, 646,082.47 and 241,158.14 is: 361,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,274.40 : 646,082.47 = 241,158.14 : x
  2. Step 2: Convert to fraction form
    431,274.40/646,082.47 = 241,158.14/x
  3. Step 3: Cross multiply
    431,274.40x = 646,082.47 × 241,158.14
  4. Step 4: Simplify right side
    431,274.40x = 155,808,046,751.81
  5. Step 5: Solve for x
    x = 155,808,046,751.81/431,274.40
  6. Step 6: Final answer
    x = 361,273.58

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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.