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Finding the Fourth Proportional to 514,762.86, 772,241.28 and 195,010.50

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Solution

The fourth proportional to 514,762.86, 772,241.28 and 195,010.50 is: 292,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,762.86 : 772,241.28 = 195,010.50 : x
  2. Step 2: Convert to fraction form
    514,762.86/772,241.28 = 195,010.50/x
  3. Step 3: Cross multiply
    514,762.86x = 772,241.28 × 195,010.50
  4. Step 4: Simplify right side
    514,762.86x = 150,595,158,133.44
  5. Step 5: Solve for x
    x = 150,595,158,133.44/514,762.86
  6. Step 6: Final answer
    x = 292,552.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.