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Finding the Fourth Proportional to 367,302.19, 506,880.78 and 206,154.01

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Solution

The fourth proportional to 367,302.19, 506,880.78 and 206,154.01 is: 284,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,302.19 : 506,880.78 = 206,154.01 : x
  2. Step 2: Convert to fraction form
    367,302.19/506,880.78 = 206,154.01/x
  3. Step 3: Cross multiply
    367,302.19x = 506,880.78 × 206,154.01
  4. Step 4: Simplify right side
    367,302.19x = 104,495,505,388.93
  5. Step 5: Solve for x
    x = 104,495,505,388.93/367,302.19
  6. Step 6: Final answer
    x = 284,494.64

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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.