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Finding the Fourth Proportional to 456,168.40, 684,252.60 and 306,869.20

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Solution

The fourth proportional to 456,168.40, 684,252.60 and 306,869.20 is: 460,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,168.40 : 684,252.60 = 306,869.20 : x
  2. Step 2: Convert to fraction form
    456,168.40/684,252.60 = 306,869.20/x
  3. Step 3: Cross multiply
    456,168.40x = 684,252.60 × 306,869.20
  4. Step 4: Simplify right side
    456,168.40x = 209,976,047,959.92
  5. Step 5: Solve for x
    x = 209,976,047,959.92/456,168.40
  6. Step 6: Final answer
    x = 460,303.80

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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.