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Finding the Fourth Proportional to 367,508.15, 507,125.95 and 206,326.25

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Solution

The fourth proportional to 367,508.15, 507,125.95 and 206,326.25 is: 284,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,508.15 : 507,125.95 = 206,326.25 : x
  2. Step 2: Convert to fraction form
    367,508.15/507,125.95 = 206,326.25/x
  3. Step 3: Cross multiply
    367,508.15x = 507,125.95 × 206,326.25
  4. Step 4: Simplify right side
    367,508.15x = 104,633,395,541.19
  5. Step 5: Solve for x
    x = 104,633,395,541.19/367,508.15
  6. Step 6: Final answer
    x = 284,710.41

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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.