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Finding the Fourth Proportional to 306,717.98, 460,170.87 and 157,064.23

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Solution

The fourth proportional to 306,717.98, 460,170.87 and 157,064.23 is: 235,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,717.98 : 460,170.87 = 157,064.23 : x
  2. Step 2: Convert to fraction form
    306,717.98/460,170.87 = 157,064.23/x
  3. Step 3: Cross multiply
    306,717.98x = 460,170.87 × 157,064.23
  4. Step 4: Simplify right side
    306,717.98x = 72,276,382,214.55
  5. Step 5: Solve for x
    x = 72,276,382,214.55/306,717.98
  6. Step 6: Final answer
    x = 235,644.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.