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Finding the Fourth Proportional to 495,220.44, 684,045.24 and 409,525.56

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Solution

The fourth proportional to 495,220.44, 684,045.24 and 409,525.56 is: 565,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,220.44 : 684,045.24 = 409,525.56 : x
  2. Step 2: Convert to fraction form
    495,220.44/684,045.24 = 409,525.56/x
  3. Step 3: Cross multiply
    495,220.44x = 684,045.24 × 409,525.56
  4. Step 4: Simplify right side
    495,220.44x = 280,134,009,976.33
  5. Step 5: Solve for x
    x = 280,134,009,976.33/495,220.44
  6. Step 6: Final answer
    x = 565,675.38

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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.