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Finding the Fourth Proportional to 514,251.89, 771,875.38 and 248,199.70

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Solution

The fourth proportional to 514,251.89, 771,875.38 and 248,199.70 is: 372,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,251.89 : 771,875.38 = 248,199.70 : x
  2. Step 2: Convert to fraction form
    514,251.89/771,875.38 = 248,199.70/x
  3. Step 3: Cross multiply
    514,251.89x = 771,875.38 × 248,199.70
  4. Step 4: Simplify right side
    514,251.89x = 191,579,233,273.51
  5. Step 5: Solve for x
    x = 191,579,233,273.51/514,251.89
  6. Step 6: Final answer
    x = 372,539.68

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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.