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Finding the Fourth Proportional to 367,598.71, 507,268.20 and 206,460.55

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Solution

The fourth proportional to 367,598.71, 507,268.20 and 206,460.55 is: 284,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,598.71 : 507,268.20 = 206,460.55 : x
  2. Step 2: Convert to fraction form
    367,598.71/507,268.20 = 206,460.55/x
  3. Step 3: Cross multiply
    367,598.71x = 507,268.20 × 206,460.55
  4. Step 4: Simplify right side
    367,598.71x = 104,730,871,569.51
  5. Step 5: Solve for x
    x = 104,730,871,569.51/367,598.71
  6. Step 6: Final answer
    x = 284,905.44

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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.