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Finding the Fourth Proportional to 514,449.65, 709,945.49 and 285,011.81

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Solution

The fourth proportional to 514,449.65, 709,945.49 and 285,011.81 is: 393,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,449.65 : 709,945.49 = 285,011.81 : x
  2. Step 2: Convert to fraction form
    514,449.65/709,945.49 = 285,011.81/x
  3. Step 3: Cross multiply
    514,449.65x = 709,945.49 × 285,011.81
  4. Step 4: Simplify right side
    514,449.65x = 202,342,851,593.63
  5. Step 5: Solve for x
    x = 202,342,851,593.63/514,449.65
  6. Step 6: Final answer
    x = 393,319.06

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Why These Related Problems?

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