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Finding the Fourth Proportional to 456,009.60, 684,014.40 and 140,563.20

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Solution

The fourth proportional to 456,009.60, 684,014.40 and 140,563.20 is: 210,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,009.60 : 684,014.40 = 140,563.20 : x
  2. Step 2: Convert to fraction form
    456,009.60/684,014.40 = 140,563.20/x
  3. Step 3: Cross multiply
    456,009.60x = 684,014.40 × 140,563.20
  4. Step 4: Simplify right side
    456,009.60x = 96,147,252,910.08
  5. Step 5: Solve for x
    x = 96,147,252,910.08/456,009.60
  6. Step 6: Final answer
    x = 210,844.80

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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.