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Finding the Fourth Proportional to 429,845.08, 593,013 and 259,783.96

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Solution

The fourth proportional to 429,845.08, 593,013 and 259,783.96 is: 358,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,845.08 : 593,013 = 259,783.96 : x
  2. Step 2: Convert to fraction form
    429,845.08/593,013 = 259,783.96/x
  3. Step 3: Cross multiply
    429,845.08x = 593,013 × 259,783.96
  4. Step 4: Simplify right side
    429,845.08x = 154,055,265,471.48
  5. Step 5: Solve for x
    x = 154,055,265,471.48/429,845.08
  6. Step 6: Final answer
    x = 358,397.18

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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.