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Finding the Fourth Proportional to 367,364.46, 506,962.71 and 206,219.82

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Solution

The fourth proportional to 367,364.46, 506,962.71 and 206,219.82 is: 284,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,364.46 : 506,962.71 = 206,219.82 : x
  2. Step 2: Convert to fraction form
    367,364.46/506,962.71 = 206,219.82/x
  3. Step 3: Cross multiply
    367,364.46x = 506,962.71 × 206,219.82
  4. Step 4: Simplify right side
    367,364.46x = 104,545,758,802.91
  5. Step 5: Solve for x
    x = 104,545,758,802.91/367,364.46
  6. Step 6: Final answer
    x = 284,583.21

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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.