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Finding the Fourth Proportional to 826,022.16, 1,239,162.84 and 352,710

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Solution

The fourth proportional to 826,022.16, 1,239,162.84 and 352,710 is: 529,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,022.16 : 1,239,162.84 = 352,710 : x
  2. Step 2: Convert to fraction form
    826,022.16/1,239,162.84 = 352,710/x
  3. Step 3: Cross multiply
    826,022.16x = 1,239,162.84 × 352,710
  4. Step 4: Simplify right side
    826,022.16x = 437,065,125,296.40
  5. Step 5: Solve for x
    x = 437,065,125,296.40/826,022.16
  6. Step 6: Final answer
    x = 529,120.34

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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.