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Finding the Fourth Proportional to 296,543.72, 409,232.29 and 160,577.66

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Solution

The fourth proportional to 296,543.72, 409,232.29 and 160,577.66 is: 221,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.72 : 409,232.29 = 160,577.66 : x
  2. Step 2: Convert to fraction form
    296,543.72/409,232.29 = 160,577.66/x
  3. Step 3: Cross multiply
    296,543.72x = 409,232.29 × 160,577.66
  4. Step 4: Simplify right side
    296,543.72x = 65,713,563,524.64
  5. Step 5: Solve for x
    x = 65,713,563,524.64/296,543.72
  6. Step 6: Final answer
    x = 221,598.23

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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.