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Finding the Fourth Proportional to 384,236.16, 575,869.44 and 194,744.16

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Solution

The fourth proportional to 384,236.16, 575,869.44 and 194,744.16 is: 291,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,236.16 : 575,869.44 = 194,744.16 : x
  2. Step 2: Convert to fraction form
    384,236.16/575,869.44 = 194,744.16/x
  3. Step 3: Cross multiply
    384,236.16x = 575,869.44 × 194,744.16
  4. Step 4: Simplify right side
    384,236.16x = 112,147,210,362.47
  5. Step 5: Solve for x
    x = 112,147,210,362.47/384,236.16
  6. Step 6: Final answer
    x = 291,870.53

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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.