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Finding the Fourth Proportional to 492,530.51, 738,817.91 and 150,948.92

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Solution

The fourth proportional to 492,530.51, 738,817.91 and 150,948.92 is: 226,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,530.51 : 738,817.91 = 150,948.92 : x
  2. Step 2: Convert to fraction form
    492,530.51/738,817.91 = 150,948.92/x
  3. Step 3: Cross multiply
    492,530.51x = 738,817.91 × 150,948.92
  4. Step 4: Simplify right side
    492,530.51x = 111,523,767,249.52
  5. Step 5: Solve for x
    x = 111,523,767,249.52/492,530.51
  6. Step 6: Final answer
    x = 226,430.17

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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.