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Finding the Fourth Proportional to 435,731.74, 601,296.70 and 242,138.80

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Solution

The fourth proportional to 435,731.74, 601,296.70 and 242,138.80 is: 334,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,731.74 : 601,296.70 = 242,138.80 : x
  2. Step 2: Convert to fraction form
    435,731.74/601,296.70 = 242,138.80/x
  3. Step 3: Cross multiply
    435,731.74x = 601,296.70 × 242,138.80
  4. Step 4: Simplify right side
    435,731.74x = 145,597,261,381.96
  5. Step 5: Solve for x
    x = 145,597,261,381.96/435,731.74
  6. Step 6: Final answer
    x = 334,144.26

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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.