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Finding the Fourth Proportional to 369,989.62, 510,587.27 and 200,223.75

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Solution

The fourth proportional to 369,989.62, 510,587.27 and 200,223.75 is: 276,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,989.62 : 510,587.27 = 200,223.75 : x
  2. Step 2: Convert to fraction form
    369,989.62/510,587.27 = 200,223.75/x
  3. Step 3: Cross multiply
    369,989.62x = 510,587.27 × 200,223.75
  4. Step 4: Simplify right side
    369,989.62x = 102,231,697,901.66
  5. Step 5: Solve for x
    x = 102,231,697,901.66/369,989.62
  6. Step 6: Final answer
    x = 276,309.64

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1.5x scale

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.