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Finding the Fourth Proportional to 296,713.10, 409,463.56 and 160,750.48

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Solution

The fourth proportional to 296,713.10, 409,463.56 and 160,750.48 is: 221,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,713.10 : 409,463.56 = 160,750.48 : x
  2. Step 2: Convert to fraction form
    296,713.10/409,463.56 = 160,750.48/x
  3. Step 3: Cross multiply
    296,713.10x = 409,463.56 × 160,750.48
  4. Step 4: Simplify right side
    296,713.10x = 65,821,463,812.51
  5. Step 5: Solve for x
    x = 65,821,463,812.51/296,713.10
  6. Step 6: Final answer
    x = 221,835.38

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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.