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Finding the Fourth Proportional to 357,151.24, 492,742.74 and 219,282.76

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Solution

The fourth proportional to 357,151.24, 492,742.74 and 219,282.76 is: 302,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,151.24 : 492,742.74 = 219,282.76 : x
  2. Step 2: Convert to fraction form
    357,151.24/492,742.74 = 219,282.76/x
  3. Step 3: Cross multiply
    357,151.24x = 492,742.74 × 219,282.76
  4. Step 4: Simplify right side
    357,151.24x = 108,049,987,997.16
  5. Step 5: Solve for x
    x = 108,049,987,997.16/357,151.24
  6. Step 6: Final answer
    x = 302,532.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.