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Finding the Fourth Proportional to 314,379.89, 433,776.97 and 187,030.61

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Solution

The fourth proportional to 314,379.89, 433,776.97 and 187,030.61 is: 258,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,379.89 : 433,776.97 = 187,030.61 : x
  2. Step 2: Convert to fraction form
    314,379.89/433,776.97 = 187,030.61/x
  3. Step 3: Cross multiply
    314,379.89x = 433,776.97 × 187,030.61
  4. Step 4: Simplify right side
    314,379.89x = 81,129,571,303.05
  5. Step 5: Solve for x
    x = 81,129,571,303.05/314,379.89
  6. Step 6: Final answer
    x = 258,062.22

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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.