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Finding the Fourth Proportional to 514,008.48, 709,308.36 and 284,574.36

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Solution

The fourth proportional to 514,008.48, 709,308.36 and 284,574.36 is: 392,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,008.48 : 709,308.36 = 284,574.36 : x
  2. Step 2: Convert to fraction form
    514,008.48/709,308.36 = 284,574.36/x
  3. Step 3: Cross multiply
    514,008.48x = 709,308.36 × 284,574.36
  4. Step 4: Simplify right side
    514,008.48x = 201,850,972,589.65
  5. Step 5: Solve for x
    x = 201,850,972,589.65/514,008.48
  6. Step 6: Final answer
    x = 392,699.69

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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.