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Finding the Fourth Proportional to 454,809.60, 682,214.40 and 305,510.40

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Solution

The fourth proportional to 454,809.60, 682,214.40 and 305,510.40 is: 458,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,809.60 : 682,214.40 = 305,510.40 : x
  2. Step 2: Convert to fraction form
    454,809.60/682,214.40 = 305,510.40/x
  3. Step 3: Cross multiply
    454,809.60x = 682,214.40 × 305,510.40
  4. Step 4: Simplify right side
    454,809.60x = 208,423,594,229.76
  5. Step 5: Solve for x
    x = 208,423,594,229.76/454,809.60
  6. Step 6: Final answer
    x = 458,265.60

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Similar ratio
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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.