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Finding the Fourth Proportional to 475,410.66, 656,071.74 and 260,546.02

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Solution

The fourth proportional to 475,410.66, 656,071.74 and 260,546.02 is: 359,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,410.66 : 656,071.74 = 260,546.02 : x
  2. Step 2: Convert to fraction form
    475,410.66/656,071.74 = 260,546.02/x
  3. Step 3: Cross multiply
    475,410.66x = 656,071.74 × 260,546.02
  4. Step 4: Simplify right side
    475,410.66x = 170,936,880,691.48
  5. Step 5: Solve for x
    x = 170,936,880,691.48/475,410.66
  6. Step 6: Final answer
    x = 359,556.26

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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.