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Finding the Fourth Proportional to 524,648, 724,014.24 and 286,184

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Solution

The fourth proportional to 524,648, 724,014.24 and 286,184 is: 394,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,648 : 724,014.24 = 286,184 : x
  2. Step 2: Convert to fraction form
    524,648/724,014.24 = 286,184/x
  3. Step 3: Cross multiply
    524,648x = 724,014.24 × 286,184
  4. Step 4: Simplify right side
    524,648x = 207,201,291,260.16
  5. Step 5: Solve for x
    x = 207,201,291,260.16/524,648
  6. Step 6: Final answer
    x = 394,933.92

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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.