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Finding the Fourth Proportional to 514,983.36, 772,688.34 and 278,047.56

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Solution

The fourth proportional to 514,983.36, 772,688.34 and 278,047.56 is: 417,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,983.36 : 772,688.34 = 278,047.56 : x
  2. Step 2: Convert to fraction form
    514,983.36/772,688.34 = 278,047.56/x
  3. Step 3: Cross multiply
    514,983.36x = 772,688.34 × 278,047.56
  4. Step 4: Simplify right side
    514,983.36x = 214,844,107,577.45
  5. Step 5: Solve for x
    x = 214,844,107,577.45/514,983.36
  6. Step 6: Final answer
    x = 417,186.50

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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.