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Finding the Fourth Proportional to 367,386.71, 506,993.40 and 206,242.07

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Solution

The fourth proportional to 367,386.71, 506,993.40 and 206,242.07 is: 284,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,386.71 : 506,993.40 = 206,242.07 : x
  2. Step 2: Convert to fraction form
    367,386.71/506,993.40 = 206,242.07/x
  3. Step 3: Cross multiply
    367,386.71x = 506,993.40 × 206,242.07
  4. Step 4: Simplify right side
    367,386.71x = 104,563,368,292.34
  5. Step 5: Solve for x
    x = 104,563,368,292.34/367,386.71
  6. Step 6: Final answer
    x = 284,613.91

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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.