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Finding the Fourth Proportional to 270,578.61, 405,742.81 and 152,249.94

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Solution

The fourth proportional to 270,578.61, 405,742.81 and 152,249.94 is: 228,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,578.61 : 405,742.81 = 152,249.94 : x
  2. Step 2: Convert to fraction form
    270,578.61/405,742.81 = 152,249.94/x
  3. Step 3: Cross multiply
    270,578.61x = 405,742.81 × 152,249.94
  4. Step 4: Simplify right side
    270,578.61x = 61,774,316,449.22
  5. Step 5: Solve for x
    x = 61,774,316,449.22/270,578.61
  6. Step 6: Final answer
    x = 228,304.51

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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.