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Finding the Fourth Proportional to 456,000.40, 684,000.60 and 306,701.20

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Solution

The fourth proportional to 456,000.40, 684,000.60 and 306,701.20 is: 460,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,000.40 : 684,000.60 = 306,701.20 : x
  2. Step 2: Convert to fraction form
    456,000.40/684,000.60 = 306,701.20/x
  3. Step 3: Cross multiply
    456,000.40x = 684,000.60 × 306,701.20
  4. Step 4: Simplify right side
    456,000.40x = 209,783,804,820.72
  5. Step 5: Solve for x
    x = 209,783,804,820.72/456,000.40
  6. Step 6: Final answer
    x = 460,051.80

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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.