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Finding the Fourth Proportional to 296,518.14, 409,193.28 and 160,549.28

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Solution

The fourth proportional to 296,518.14, 409,193.28 and 160,549.28 is: 221,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,518.14 : 409,193.28 = 160,549.28 : x
  2. Step 2: Convert to fraction form
    296,518.14/409,193.28 = 160,549.28/x
  3. Step 3: Cross multiply
    296,518.14x = 409,193.28 × 160,549.28
  4. Step 4: Simplify right side
    296,518.14x = 65,695,684,438.87
  5. Step 5: Solve for x
    x = 65,695,684,438.87/296,518.14
  6. Step 6: Final answer
    x = 221,557.05

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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.