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Finding the Fourth Proportional to 615,457.20, 922,408.20 and 299,233.20

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Solution

The fourth proportional to 615,457.20, 922,408.20 and 299,233.20 is: 448,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,457.20 : 922,408.20 = 299,233.20 : x
  2. Step 2: Convert to fraction form
    615,457.20/922,408.20 = 299,233.20/x
  3. Step 3: Cross multiply
    615,457.20x = 922,408.20 × 299,233.20
  4. Step 4: Simplify right side
    615,457.20x = 276,015,157,392.24
  5. Step 5: Solve for x
    x = 276,015,157,392.24/615,457.20
  6. Step 6: Final answer
    x = 448,471.73

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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.