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Finding the Fourth Proportional to 379,957.80, 570,050.82 and 113,727

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Solution

The fourth proportional to 379,957.80, 570,050.82 and 113,727 is: 170,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,957.80 : 570,050.82 = 113,727 : x
  2. Step 2: Convert to fraction form
    379,957.80/570,050.82 = 113,727/x
  3. Step 3: Cross multiply
    379,957.80x = 570,050.82 × 113,727
  4. Step 4: Simplify right side
    379,957.80x = 64,830,169,606.14
  5. Step 5: Solve for x
    x = 64,830,169,606.14/379,957.80
  6. Step 6: Final answer
    x = 170,624.66

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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.