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Finding the Fourth Proportional to 418,780.44, 578,019.64 and 237,598.42

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Solution

The fourth proportional to 418,780.44, 578,019.64 and 237,598.42 is: 327,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,780.44 : 578,019.64 = 237,598.42 : x
  2. Step 2: Convert to fraction form
    418,780.44/578,019.64 = 237,598.42/x
  3. Step 3: Cross multiply
    418,780.44x = 578,019.64 × 237,598.42
  4. Step 4: Simplify right side
    418,780.44x = 137,336,550,302.87
  5. Step 5: Solve for x
    x = 137,336,550,302.87/418,780.44
  6. Step 6: Final answer
    x = 327,944.05

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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.