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Finding the Fourth Proportional to 407,198.59, 561,934.53 and 237,465.52

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Solution

The fourth proportional to 407,198.59, 561,934.53 and 237,465.52 is: 327,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,198.59 : 561,934.53 = 237,465.52 : x
  2. Step 2: Convert to fraction form
    407,198.59/561,934.53 = 237,465.52/x
  3. Step 3: Cross multiply
    407,198.59x = 561,934.53 × 237,465.52
  4. Step 4: Simplify right side
    407,198.59x = 133,440,075,372.41
  5. Step 5: Solve for x
    x = 133,440,075,372.41/407,198.59
  6. Step 6: Final answer
    x = 327,702.70

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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.