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Finding the Fourth Proportional to 296,573.32, 409,271.36 and 160,608.32

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Solution

The fourth proportional to 296,573.32, 409,271.36 and 160,608.32 is: 221,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,573.32 : 409,271.36 = 160,608.32 : x
  2. Step 2: Convert to fraction form
    296,573.32/409,271.36 = 160,608.32/x
  3. Step 3: Cross multiply
    296,573.32x = 409,271.36 × 160,608.32
  4. Step 4: Simplify right side
    296,573.32x = 65,732,385,553.72
  5. Step 5: Solve for x
    x = 65,732,385,553.72/296,573.32
  6. Step 6: Final answer
    x = 221,639.58

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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.