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Finding the Fourth Proportional to 456,417.60, 684,723.60 and 140,906.40

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Solution

The fourth proportional to 456,417.60, 684,723.60 and 140,906.40 is: 211,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,417.60 : 684,723.60 = 140,906.40 : x
  2. Step 2: Convert to fraction form
    456,417.60/684,723.60 = 140,906.40/x
  3. Step 3: Cross multiply
    456,417.60x = 684,723.60 × 140,906.40
  4. Step 4: Simplify right side
    456,417.60x = 96,481,937,471.04
  5. Step 5: Solve for x
    x = 96,481,937,471.04/456,417.60
  6. Step 6: Final answer
    x = 211,389.61

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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.