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Finding the Fourth Proportional to 296,281.88, 408,865.92 and 160,312.82

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Solution

The fourth proportional to 296,281.88, 408,865.92 and 160,312.82 is: 221,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,281.88 : 408,865.92 = 160,312.82 : x
  2. Step 2: Convert to fraction form
    296,281.88/408,865.92 = 160,312.82/x
  3. Step 3: Cross multiply
    296,281.88x = 408,865.92 × 160,312.82
  4. Step 4: Simplify right side
    296,281.88x = 65,546,450,343.16
  5. Step 5: Solve for x
    x = 65,546,450,343.16/296,281.88
  6. Step 6: Final answer
    x = 221,230.03

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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.