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Finding the Fourth Proportional to 380,571.14, 570,586.50 and 190,895.06

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Solution

The fourth proportional to 380,571.14, 570,586.50 and 190,895.06 is: 286,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,571.14 : 570,586.50 = 190,895.06 : x
  2. Step 2: Convert to fraction form
    380,571.14/570,586.50 = 190,895.06/x
  3. Step 3: Cross multiply
    380,571.14x = 570,586.50 × 190,895.06
  4. Step 4: Simplify right side
    380,571.14x = 108,922,144,152.69
  5. Step 5: Solve for x
    x = 108,922,144,152.69/380,571.14
  6. Step 6: Final answer
    x = 286,207.05

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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.