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Finding the Fourth Proportional to 334,446, 461,536.20 and 183,542.64

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Solution

The fourth proportional to 334,446, 461,536.20 and 183,542.64 is: 253,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,446 : 461,536.20 = 183,542.64 : x
  2. Step 2: Convert to fraction form
    334,446/461,536.20 = 183,542.64/x
  3. Step 3: Cross multiply
    334,446x = 461,536.20 × 183,542.64
  4. Step 4: Simplify right side
    334,446x = 84,711,572,603.57
  5. Step 5: Solve for x
    x = 84,711,572,603.57/334,446
  6. Step 6: Final answer
    x = 253,289.24

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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.