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Finding the Fourth Proportional to 792,987, 1,094,319.36 and 430,410.84

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Solution

The fourth proportional to 792,987, 1,094,319.36 and 430,410.84 is: 593,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,987 : 1,094,319.36 = 430,410.84 : x
  2. Step 2: Convert to fraction form
    792,987/1,094,319.36 = 430,410.84/x
  3. Step 3: Cross multiply
    792,987x = 1,094,319.36 × 430,410.84
  4. Step 4: Simplify right side
    792,987x = 471,006,914,965.86
  5. Step 5: Solve for x
    x = 471,006,914,965.86/792,987
  6. Step 6: Final answer
    x = 593,965.49

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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.