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Finding the Fourth Proportional to 313,400.30, 470,176.06 and 103,027.10

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Solution

The fourth proportional to 313,400.30, 470,176.06 and 103,027.10 is: 154,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400.30 : 470,176.06 = 103,027.10 : x
  2. Step 2: Convert to fraction form
    313,400.30/470,176.06 = 103,027.10/x
  3. Step 3: Cross multiply
    313,400.30x = 470,176.06 × 103,027.10
  4. Step 4: Simplify right side
    313,400.30x = 48,440,875,951.23
  5. Step 5: Solve for x
    x = 48,440,875,951.23/313,400.30
  6. Step 6: Final answer
    x = 154,565.51

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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.