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Finding the Fourth Proportional to 307,225.80, 460,838.70 and 200,937.60

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Solution

The fourth proportional to 307,225.80, 460,838.70 and 200,937.60 is: 301,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,225.80 : 460,838.70 = 200,937.60 : x
  2. Step 2: Convert to fraction form
    307,225.80/460,838.70 = 200,937.60/x
  3. Step 3: Cross multiply
    307,225.80x = 460,838.70 × 200,937.60
  4. Step 4: Simplify right side
    307,225.80x = 92,599,822,365.12
  5. Step 5: Solve for x
    x = 92,599,822,365.12/307,225.80
  6. Step 6: Final answer
    x = 301,406.40

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1.5x scale

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.