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Finding the Fourth Proportional to 517,402.30, 776,054.85 and 233,111.74

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Solution

The fourth proportional to 517,402.30, 776,054.85 and 233,111.74 is: 349,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,402.30 : 776,054.85 = 233,111.74 : x
  2. Step 2: Convert to fraction form
    517,402.30/776,054.85 = 233,111.74/x
  3. Step 3: Cross multiply
    517,402.30x = 776,054.85 × 233,111.74
  4. Step 4: Simplify right side
    517,402.30x = 180,907,496,418.94
  5. Step 5: Solve for x
    x = 180,907,496,418.94/517,402.30
  6. Step 6: Final answer
    x = 349,645.71

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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.