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Finding the Fourth Proportional to 565,375.42, 780,264.39 and 339,016.06

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Solution

The fourth proportional to 565,375.42, 780,264.39 and 339,016.06 is: 467,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,375.42 : 780,264.39 = 339,016.06 : x
  2. Step 2: Convert to fraction form
    565,375.42/780,264.39 = 339,016.06/x
  3. Step 3: Cross multiply
    565,375.42x = 780,264.39 × 339,016.06
  4. Step 4: Simplify right side
    565,375.42x = 264,522,159,256.10
  5. Step 5: Solve for x
    x = 264,522,159,256.10/565,375.42
  6. Step 6: Final answer
    x = 467,869.93

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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.