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Finding the Fourth Proportional to 296,343.30, 408,952.98 and 160,377.51

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Solution

The fourth proportional to 296,343.30, 408,952.98 and 160,377.51 is: 221,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,343.30 : 408,952.98 = 160,377.51 : x
  2. Step 2: Convert to fraction form
    296,343.30/408,952.98 = 160,377.51/x
  3. Step 3: Cross multiply
    296,343.30x = 408,952.98 × 160,377.51
  4. Step 4: Simplify right side
    296,343.30x = 65,586,860,639.48
  5. Step 5: Solve for x
    x = 65,586,860,639.48/296,343.30
  6. Step 6: Final answer
    x = 221,320.54

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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.