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Finding the Fourth Proportional to 296,130.84, 408,659.34 and 160,164.93

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Solution

The fourth proportional to 296,130.84, 408,659.34 and 160,164.93 is: 221,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,130.84 : 408,659.34 = 160,164.93 : x
  2. Step 2: Convert to fraction form
    296,130.84/408,659.34 = 160,164.93/x
  3. Step 3: Cross multiply
    296,130.84x = 408,659.34 × 160,164.93
  4. Step 4: Simplify right side
    296,130.84x = 65,452,894,584.95
  5. Step 5: Solve for x
    x = 65,452,894,584.95/296,130.84
  6. Step 6: Final answer
    x = 221,026.94

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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.