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Finding the Fourth Proportional to 367,894.95, 507,692.37 and 206,746.53

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Solution

The fourth proportional to 367,894.95, 507,692.37 and 206,746.53 is: 285,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,894.95 : 507,692.37 = 206,746.53 : x
  2. Step 2: Convert to fraction form
    367,894.95/507,692.37 = 206,746.53/x
  3. Step 3: Cross multiply
    367,894.95x = 507,692.37 × 206,746.53
  4. Step 4: Simplify right side
    367,894.95x = 104,963,635,804.98
  5. Step 5: Solve for x
    x = 104,963,635,804.98/367,894.95
  6. Step 6: Final answer
    x = 285,308.72

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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.