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Finding the Fourth Proportional to 826,023.16, 1,239,164.34 and 352,711

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Solution

The fourth proportional to 826,023.16, 1,239,164.34 and 352,711 is: 529,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,023.16 : 1,239,164.34 = 352,711 : x
  2. Step 2: Convert to fraction form
    826,023.16/1,239,164.34 = 352,711/x
  3. Step 3: Cross multiply
    826,023.16x = 1,239,164.34 × 352,711
  4. Step 4: Simplify right side
    826,023.16x = 437,066,893,525.74
  5. Step 5: Solve for x
    x = 437,066,893,525.74/826,023.16
  6. Step 6: Final answer
    x = 529,121.84

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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.