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Finding the Fourth Proportional to 458,803.20, 688,204.80 and 451,804.80

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Solution

The fourth proportional to 458,803.20, 688,204.80 and 451,804.80 is: 677,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,803.20 : 688,204.80 = 451,804.80 : x
  2. Step 2: Convert to fraction form
    458,803.20/688,204.80 = 451,804.80/x
  3. Step 3: Cross multiply
    458,803.20x = 688,204.80 × 451,804.80
  4. Step 4: Simplify right side
    458,803.20x = 310,934,232,023.04
  5. Step 5: Solve for x
    x = 310,934,232,023.04/458,803.20
  6. Step 6: Final answer
    x = 677,707.20

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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.