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Finding the Fourth Proportional to 367,300.19, 506,878.02 and 206,152.01

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Solution

The fourth proportional to 367,300.19, 506,878.02 and 206,152.01 is: 284,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,300.19 : 506,878.02 = 206,152.01 : x
  2. Step 2: Convert to fraction form
    367,300.19/506,878.02 = 206,152.01/x
  3. Step 3: Cross multiply
    367,300.19x = 506,878.02 × 206,152.01
  4. Step 4: Simplify right side
    367,300.19x = 104,493,922,014.22
  5. Step 5: Solve for x
    x = 104,493,922,014.22/367,300.19
  6. Step 6: Final answer
    x = 284,491.88

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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.