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Finding the Fourth Proportional to 456,000.80, 684,001.20 and 306,701.60

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Solution

The fourth proportional to 456,000.80, 684,001.20 and 306,701.60 is: 460,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,000.80 : 684,001.20 = 306,701.60 : x
  2. Step 2: Convert to fraction form
    456,000.80/684,001.20 = 306,701.60/x
  3. Step 3: Cross multiply
    456,000.80x = 684,001.20 × 306,701.60
  4. Step 4: Simplify right side
    456,000.80x = 209,784,262,441.92
  5. Step 5: Solve for x
    x = 209,784,262,441.92/456,000.80
  6. Step 6: Final answer
    x = 460,052.40

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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.