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Finding the Fourth Proportional to 313,823.40, 470,735.10 and 313,823.40

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Solution

The fourth proportional to 313,823.40, 470,735.10 and 313,823.40 is: 470,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,823.40 : 470,735.10 = 313,823.40 : x
  2. Step 2: Convert to fraction form
    313,823.40/470,735.10 = 313,823.40/x
  3. Step 3: Cross multiply
    313,823.40x = 470,735.10 × 313,823.40
  4. Step 4: Simplify right side
    313,823.40x = 147,727,689,581.34
  5. Step 5: Solve for x
    x = 147,727,689,581.34/313,823.40
  6. Step 6: Final answer
    x = 470,735.10

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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.