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Finding the Fourth Proportional to 709,094.24, 978,543.80 and 386,797.41

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Solution

The fourth proportional to 709,094.24, 978,543.80 and 386,797.41 is: 533,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,094.24 : 978,543.80 = 386,797.41 : x
  2. Step 2: Convert to fraction form
    709,094.24/978,543.80 = 386,797.41/x
  3. Step 3: Cross multiply
    709,094.24x = 978,543.80 × 386,797.41
  4. Step 4: Simplify right side
    709,094.24x = 378,498,207,411.56
  5. Step 5: Solve for x
    x = 378,498,207,411.56/709,094.24
  6. Step 6: Final answer
    x = 533,777.02

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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.