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Finding the Fourth Proportional to 296,549.45, 409,237.50 and 160,583.39

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Solution

The fourth proportional to 296,549.45, 409,237.50 and 160,583.39 is: 221,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,549.45 : 409,237.50 = 160,583.39 : x
  2. Step 2: Convert to fraction form
    296,549.45/409,237.50 = 160,583.39/x
  3. Step 3: Cross multiply
    296,549.45x = 409,237.50 × 160,583.39
  4. Step 4: Simplify right side
    296,549.45x = 65,716,745,352.48
  5. Step 5: Solve for x
    x = 65,716,745,352.48/296,549.45
  6. Step 6: Final answer
    x = 221,604.68

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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.