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Finding the Fourth Proportional to 456,441.60, 684,662.40 and 426,698.40

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Solution

The fourth proportional to 456,441.60, 684,662.40 and 426,698.40 is: 640,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,441.60 : 684,662.40 = 426,698.40 : x
  2. Step 2: Convert to fraction form
    456,441.60/684,662.40 = 426,698.40/x
  3. Step 3: Cross multiply
    456,441.60x = 684,662.40 × 426,698.40
  4. Step 4: Simplify right side
    456,441.60x = 292,144,350,620.16
  5. Step 5: Solve for x
    x = 292,144,350,620.16/456,441.60
  6. Step 6: Final answer
    x = 640,047.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.