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Finding the Fourth Proportional to 296,463.66, 409,119.34 and 160,497.56

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Solution

The fourth proportional to 296,463.66, 409,119.34 and 160,497.56 is: 221,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,463.66 : 409,119.34 = 160,497.56 : x
  2. Step 2: Convert to fraction form
    296,463.66/409,119.34 = 160,497.56/x
  3. Step 3: Cross multiply
    296,463.66x = 409,119.34 × 160,497.56
  4. Step 4: Simplify right side
    296,463.66x = 65,662,655,818.81
  5. Step 5: Solve for x
    x = 65,662,655,818.81/296,463.66
  6. Step 6: Final answer
    x = 221,486.36

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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.