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Finding the Fourth Proportional to 514,446.84, 709,966.14 and 288,090.36

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Solution

The fourth proportional to 514,446.84, 709,966.14 and 288,090.36 is: 397,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,446.84 : 709,966.14 = 288,090.36 : x
  2. Step 2: Convert to fraction form
    514,446.84/709,966.14 = 288,090.36/x
  3. Step 3: Cross multiply
    514,446.84x = 709,966.14 × 288,090.36
  4. Step 4: Simplify right side
    514,446.84x = 204,534,400,860.41
  5. Step 5: Solve for x
    x = 204,534,400,860.41/514,446.84
  6. Step 6: Final answer
    x = 397,581.22

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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.