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Finding the Fourth Proportional to 296,330.50, 408,936.06 and 160,364.44

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Solution

The fourth proportional to 296,330.50, 408,936.06 and 160,364.44 is: 221,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,330.50 : 408,936.06 = 160,364.44 : x
  2. Step 2: Convert to fraction form
    296,330.50/408,936.06 = 160,364.44/x
  3. Step 3: Cross multiply
    296,330.50x = 408,936.06 × 160,364.44
  4. Step 4: Simplify right side
    296,330.50x = 65,578,803,280.05
  5. Step 5: Solve for x
    x = 65,578,803,280.05/296,330.50
  6. Step 6: Final answer
    x = 221,302.92

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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.