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Finding the Fourth Proportional to 342,429.20, 513,643.80 and 202,115.60

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Solution

The fourth proportional to 342,429.20, 513,643.80 and 202,115.60 is: 303,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,429.20 : 513,643.80 = 202,115.60 : x
  2. Step 2: Convert to fraction form
    342,429.20/513,643.80 = 202,115.60/x
  3. Step 3: Cross multiply
    342,429.20x = 513,643.80 × 202,115.60
  4. Step 4: Simplify right side
    342,429.20x = 103,815,424,823.28
  5. Step 5: Solve for x
    x = 103,815,424,823.28/342,429.20
  6. Step 6: Final answer
    x = 303,173.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.