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Finding the Fourth Proportional to 429,957.56, 593,397.42 and 260,194.52

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Solution

The fourth proportional to 429,957.56, 593,397.42 and 260,194.52 is: 359,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,957.56 : 593,397.42 = 260,194.52 : x
  2. Step 2: Convert to fraction form
    429,957.56/593,397.42 = 260,194.52/x
  3. Step 3: Cross multiply
    429,957.56x = 593,397.42 × 260,194.52
  4. Step 4: Simplify right side
    429,957.56x = 154,398,756,866.14
  5. Step 5: Solve for x
    x = 154,398,756,866.14/429,957.56
  6. Step 6: Final answer
    x = 359,102.32

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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.