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Finding the Fourth Proportional to 306,824.47, 460,216.45 and 147,014.71

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Solution

The fourth proportional to 306,824.47, 460,216.45 and 147,014.71 is: 220,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824.47 : 460,216.45 = 147,014.71 : x
  2. Step 2: Convert to fraction form
    306,824.47/460,216.45 = 147,014.71/x
  3. Step 3: Cross multiply
    306,824.47x = 460,216.45 × 147,014.71
  4. Step 4: Simplify right side
    306,824.47x = 67,658,587,933.98
  5. Step 5: Solve for x
    x = 67,658,587,933.98/306,824.47
  6. Step 6: Final answer
    x = 220,512.36

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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.