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Finding the Fourth Proportional to 429,838.56, 593,231.76 and 260,074.08

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Solution

The fourth proportional to 429,838.56, 593,231.76 and 260,074.08 is: 358,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,838.56 : 593,231.76 = 260,074.08 : x
  2. Step 2: Convert to fraction form
    429,838.56/593,231.76 = 260,074.08/x
  3. Step 3: Cross multiply
    429,838.56x = 593,231.76 × 260,074.08
  4. Step 4: Simplify right side
    429,838.56x = 154,284,204,208.78
  5. Step 5: Solve for x
    x = 154,284,204,208.78/429,838.56
  6. Step 6: Final answer
    x = 358,935.23

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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.