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Finding the Fourth Proportional to 313,924.32, 470,423.30 and 185,708

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Solution

The fourth proportional to 313,924.32, 470,423.30 and 185,708 is: 278,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924.32 : 470,423.30 = 185,708 : x
  2. Step 2: Convert to fraction form
    313,924.32/470,423.30 = 185,708/x
  3. Step 3: Cross multiply
    313,924.32x = 470,423.30 × 185,708
  4. Step 4: Simplify right side
    313,924.32x = 87,361,370,196.40
  5. Step 5: Solve for x
    x = 87,361,370,196.40/313,924.32
  6. Step 6: Final answer
    x = 278,288.00

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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.