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Finding the Fourth Proportional to 431,148.95, 594,986.62 and 259,069.78

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Solution

The fourth proportional to 431,148.95, 594,986.62 and 259,069.78 is: 357,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,148.95 : 594,986.62 = 259,069.78 : x
  2. Step 2: Convert to fraction form
    431,148.95/594,986.62 = 259,069.78/x
  3. Step 3: Cross multiply
    431,148.95x = 594,986.62 × 259,069.78
  4. Step 4: Simplify right side
    431,148.95x = 154,143,052,746.34
  5. Step 5: Solve for x
    x = 154,143,052,746.34/431,148.95
  6. Step 6: Final answer
    x = 357,516.94

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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.