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Finding the Fourth Proportional to 431,334.29, 595,285.61 and 259,307.94

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Solution

The fourth proportional to 431,334.29, 595,285.61 and 259,307.94 is: 357,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,334.29 : 595,285.61 = 259,307.94 : x
  2. Step 2: Convert to fraction form
    431,334.29/595,285.61 = 259,307.94/x
  3. Step 3: Cross multiply
    431,334.29x = 595,285.61 × 259,307.94
  4. Step 4: Simplify right side
    431,334.29x = 154,362,285,240.74
  5. Step 5: Solve for x
    x = 154,362,285,240.74/431,334.29
  6. Step 6: Final answer
    x = 357,871.58

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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.