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Finding the Fourth Proportional to 423,195.84, 583,744.32 and 295,824.96

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Solution

The fourth proportional to 423,195.84, 583,744.32 and 295,824.96 is: 408,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,195.84 : 583,744.32 = 295,824.96 : x
  2. Step 2: Convert to fraction form
    423,195.84/583,744.32 = 295,824.96/x
  3. Step 3: Cross multiply
    423,195.84x = 583,744.32 × 295,824.96
  4. Step 4: Simplify right side
    423,195.84x = 172,686,140,114.23
  5. Step 5: Solve for x
    x = 172,686,140,114.23/423,195.84
  6. Step 6: Final answer
    x = 408,052.55

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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.