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Finding the Fourth Proportional to 583,457.86, 805,321.66 and 380,015.74

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Solution

The fourth proportional to 583,457.86, 805,321.66 and 380,015.74 is: 524,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,457.86 : 805,321.66 = 380,015.74 : x
  2. Step 2: Convert to fraction form
    583,457.86/805,321.66 = 380,015.74/x
  3. Step 3: Cross multiply
    583,457.86x = 805,321.66 × 380,015.74
  4. Step 4: Simplify right side
    583,457.86x = 306,034,906,562.93
  5. Step 5: Solve for x
    x = 306,034,906,562.93/583,457.86
  6. Step 6: Final answer
    x = 524,519.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.