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Finding the Fourth Proportional to 296,959.02, 409,798.42 and 167,895.38

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Solution

The fourth proportional to 296,959.02, 409,798.42 and 167,895.38 is: 231,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,959.02 : 409,798.42 = 167,895.38 : x
  2. Step 2: Convert to fraction form
    296,959.02/409,798.42 = 167,895.38/x
  3. Step 3: Cross multiply
    296,959.02x = 409,798.42 × 167,895.38
  4. Step 4: Simplify right side
    296,959.02x = 68,803,258,980.57
  5. Step 5: Solve for x
    x = 68,803,258,980.57/296,959.02
  6. Step 6: Final answer
    x = 231,692.77

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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.