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Finding the Fourth Proportional to 296,608.50, 409,319.73 and 169,281.36

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Solution

The fourth proportional to 296,608.50, 409,319.73 and 169,281.36 is: 233,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,608.50 : 409,319.73 = 169,281.36 : x
  2. Step 2: Convert to fraction form
    296,608.50/409,319.73 = 169,281.36/x
  3. Step 3: Cross multiply
    296,608.50x = 409,319.73 × 169,281.36
  4. Step 4: Simplify right side
    296,608.50x = 69,290,200,569.23
  5. Step 5: Solve for x
    x = 69,290,200,569.23/296,608.50
  6. Step 6: Final answer
    x = 233,608.28

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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.