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Finding the Fourth Proportional to 514,443.60, 709,695.81 and 333,216

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Solution

The fourth proportional to 514,443.60, 709,695.81 and 333,216 is: 459,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,443.60 : 709,695.81 = 333,216 : x
  2. Step 2: Convert to fraction form
    514,443.60/709,695.81 = 333,216/x
  3. Step 3: Cross multiply
    514,443.60x = 709,695.81 × 333,216
  4. Step 4: Simplify right side
    514,443.60x = 236,481,999,024.96
  5. Step 5: Solve for x
    x = 236,481,999,024.96/514,443.60
  6. Step 6: Final answer
    x = 459,684.99

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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.