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Finding the Fourth Proportional to 402,546.80, 554,900.56 and 341,066.08

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Solution

The fourth proportional to 402,546.80, 554,900.56 and 341,066.08 is: 470,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,546.80 : 554,900.56 = 341,066.08 : x
  2. Step 2: Convert to fraction form
    402,546.80/554,900.56 = 341,066.08/x
  3. Step 3: Cross multiply
    402,546.80x = 554,900.56 × 341,066.08
  4. Step 4: Simplify right side
    402,546.80x = 189,257,758,629.97
  5. Step 5: Solve for x
    x = 189,257,758,629.97/402,546.80
  6. Step 6: Final answer
    x = 470,150.94

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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.