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Finding the Fourth Proportional to 456,507.62, 685,000.18 and 186,835.94

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Solution

The fourth proportional to 456,507.62, 685,000.18 and 186,835.94 is: 280,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,507.62 : 685,000.18 = 186,835.94 : x
  2. Step 2: Convert to fraction form
    456,507.62/685,000.18 = 186,835.94/x
  3. Step 3: Cross multiply
    456,507.62x = 685,000.18 × 186,835.94
  4. Step 4: Simplify right side
    456,507.62x = 127,982,652,530.47
  5. Step 5: Solve for x
    x = 127,982,652,530.47/456,507.62
  6. Step 6: Final answer
    x = 280,351.62

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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.