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Finding the Fourth Proportional to 514,722.96, 710,300.52 and 285,270.48

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Solution

The fourth proportional to 514,722.96, 710,300.52 and 285,270.48 is: 393,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,722.96 : 710,300.52 = 285,270.48 : x
  2. Step 2: Convert to fraction form
    514,722.96/710,300.52 = 285,270.48/x
  3. Step 3: Cross multiply
    514,722.96x = 710,300.52 × 285,270.48
  4. Step 4: Simplify right side
    514,722.96x = 202,627,770,284.65
  5. Step 5: Solve for x
    x = 202,627,770,284.65/514,722.96
  6. Step 6: Final answer
    x = 393,663.75

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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.