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Finding the Fourth Proportional to 296,838.41, 409,632.36 and 160,871.16

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Solution

The fourth proportional to 296,838.41, 409,632.36 and 160,871.16 is: 221,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,838.41 : 409,632.36 = 160,871.16 : x
  2. Step 2: Convert to fraction form
    296,838.41/409,632.36 = 160,871.16/x
  3. Step 3: Cross multiply
    296,838.41x = 409,632.36 × 160,871.16
  4. Step 4: Simplify right side
    296,838.41x = 65,898,032,926.74
  5. Step 5: Solve for x
    x = 65,898,032,926.74/296,838.41
  6. Step 6: Final answer
    x = 221,999.69

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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.