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Finding the Fourth Proportional to 340,871.85, 470,438.15 and 204,950.07

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Solution

The fourth proportional to 340,871.85, 470,438.15 and 204,950.07 is: 282,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,871.85 : 470,438.15 = 204,950.07 : x
  2. Step 2: Convert to fraction form
    340,871.85/470,438.15 = 204,950.07/x
  3. Step 3: Cross multiply
    340,871.85x = 470,438.15 × 204,950.07
  4. Step 4: Simplify right side
    340,871.85x = 96,416,330,748.42
  5. Step 5: Solve for x
    x = 96,416,330,748.42/340,871.85
  6. Step 6: Final answer
    x = 282,852.14

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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.