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Finding the Fourth Proportional to 319,777.85, 441,281.86 and 176,534.81

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Solution

The fourth proportional to 319,777.85, 441,281.86 and 176,534.81 is: 243,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,777.85 : 441,281.86 = 176,534.81 : x
  2. Step 2: Convert to fraction form
    319,777.85/441,281.86 = 176,534.81/x
  3. Step 3: Cross multiply
    319,777.85x = 441,281.86 × 176,534.81
  4. Step 4: Simplify right side
    319,777.85x = 77,901,609,311.55
  5. Step 5: Solve for x
    x = 77,901,609,311.55/319,777.85
  6. Step 6: Final answer
    x = 243,611.65

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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.