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Finding the Fourth Proportional to 313,927.60, 470,891.40 and 103,554.40

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Solution

The fourth proportional to 313,927.60, 470,891.40 and 103,554.40 is: 155,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,927.60 : 470,891.40 = 103,554.40 : x
  2. Step 2: Convert to fraction form
    313,927.60/470,891.40 = 103,554.40/x
  3. Step 3: Cross multiply
    313,927.60x = 470,891.40 × 103,554.40
  4. Step 4: Simplify right side
    313,927.60x = 48,762,876,392.16
  5. Step 5: Solve for x
    x = 48,762,876,392.16/313,927.60
  6. Step 6: Final answer
    x = 155,331.60

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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.