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Finding the Fourth Proportional to 306,823.47, 460,214.96 and 147,013.71

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Solution

The fourth proportional to 306,823.47, 460,214.96 and 147,013.71 is: 220,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,823.47 : 460,214.96 = 147,013.71 : x
  2. Step 2: Convert to fraction form
    306,823.47/460,214.96 = 147,013.71/x
  3. Step 3: Cross multiply
    306,823.47x = 460,214.96 × 147,013.71
  4. Step 4: Simplify right side
    306,823.47x = 67,657,907,932.03
  5. Step 5: Solve for x
    x = 67,657,907,932.03/306,823.47
  6. Step 6: Final answer
    x = 220,510.86

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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.