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Finding the Fourth Proportional to 380,156.94, 570,362.04 and 127,462.50

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Solution

The fourth proportional to 380,156.94, 570,362.04 and 127,462.50 is: 191,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,156.94 : 570,362.04 = 127,462.50 : x
  2. Step 2: Convert to fraction form
    380,156.94/570,362.04 = 127,462.50/x
  3. Step 3: Cross multiply
    380,156.94x = 570,362.04 × 127,462.50
  4. Step 4: Simplify right side
    380,156.94x = 72,699,771,523.50
  5. Step 5: Solve for x
    x = 72,699,771,523.50/380,156.94
  6. Step 6: Final answer
    x = 191,236.21

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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.