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Finding the Fourth Proportional to 342,894.20, 514,341.30 and 201,176.60

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Solution

The fourth proportional to 342,894.20, 514,341.30 and 201,176.60 is: 301,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,894.20 : 514,341.30 = 201,176.60 : x
  2. Step 2: Convert to fraction form
    342,894.20/514,341.30 = 201,176.60/x
  3. Step 3: Cross multiply
    342,894.20x = 514,341.30 × 201,176.60
  4. Step 4: Simplify right side
    342,894.20x = 103,473,433,973.58
  5. Step 5: Solve for x
    x = 103,473,433,973.58/342,894.20
  6. Step 6: Final answer
    x = 301,764.90

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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.