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Finding the Fourth Proportional to 313,898.20, 470,069.70 and 201,405.40

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Solution

The fourth proportional to 313,898.20, 470,069.70 and 201,405.40 is: 301,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,898.20 : 470,069.70 = 201,405.40 : x
  2. Step 2: Convert to fraction form
    313,898.20/470,069.70 = 201,405.40/x
  3. Step 3: Cross multiply
    313,898.20x = 470,069.70 × 201,405.40
  4. Step 4: Simplify right side
    313,898.20x = 94,674,575,956.38
  5. Step 5: Solve for x
    x = 94,674,575,956.38/313,898.20
  6. Step 6: Final answer
    x = 301,609.17

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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.