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Finding the Fourth Proportional to 313,967.74, 470,967.90 and 103,622.08

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Solution

The fourth proportional to 313,967.74, 470,967.90 and 103,622.08 is: 155,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,967.74 : 470,967.90 = 103,622.08 : x
  2. Step 2: Convert to fraction form
    313,967.74/470,967.90 = 103,622.08/x
  3. Step 3: Cross multiply
    313,967.74x = 470,967.90 × 103,622.08
  4. Step 4: Simplify right side
    313,967.74x = 48,802,673,411.23
  5. Step 5: Solve for x
    x = 48,802,673,411.23/313,967.74
  6. Step 6: Final answer
    x = 155,438.50

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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.