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Finding the Fourth Proportional to 367,048.12, 506,549.67 and 205,913.60

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Solution

The fourth proportional to 367,048.12, 506,549.67 and 205,913.60 is: 284,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,048.12 : 506,549.67 = 205,913.60 : x
  2. Step 2: Convert to fraction form
    367,048.12/506,549.67 = 205,913.60/x
  3. Step 3: Cross multiply
    367,048.12x = 506,549.67 × 205,913.60
  4. Step 4: Simplify right side
    367,048.12x = 104,305,466,128.51
  5. Step 5: Solve for x
    x = 104,305,466,128.51/367,048.12
  6. Step 6: Final answer
    x = 284,173.82

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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.