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Finding the Fourth Proportional to 386,097.42, 578,506.05 and 273,218.34

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Solution

The fourth proportional to 386,097.42, 578,506.05 and 273,218.34 is: 409,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,097.42 : 578,506.05 = 273,218.34 : x
  2. Step 2: Convert to fraction form
    386,097.42/578,506.05 = 273,218.34/x
  3. Step 3: Cross multiply
    386,097.42x = 578,506.05 × 273,218.34
  4. Step 4: Simplify right side
    386,097.42x = 158,058,462,660.96
  5. Step 5: Solve for x
    x = 158,058,462,660.96/386,097.42
  6. Step 6: Final answer
    x = 409,374.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.