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Finding the Fourth Proportional to 771,628.24, 1,065,216 and 513,933.76

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Solution

The fourth proportional to 771,628.24, 1,065,216 and 513,933.76 is: 709,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,628.24 : 1,065,216 = 513,933.76 : x
  2. Step 2: Convert to fraction form
    771,628.24/1,065,216 = 513,933.76/x
  3. Step 3: Cross multiply
    771,628.24x = 1,065,216 × 513,933.76
  4. Step 4: Simplify right side
    771,628.24x = 547,450,464,092.16
  5. Step 5: Solve for x
    x = 547,450,464,092.16/771,628.24
  6. Step 6: Final answer
    x = 709,474.38

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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.