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Finding the Fourth Proportional to 313,984.95, 470,911.50 and 103,573.59

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Solution

The fourth proportional to 313,984.95, 470,911.50 and 103,573.59 is: 155,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,984.95 : 470,911.50 = 103,573.59 : x
  2. Step 2: Convert to fraction form
    313,984.95/470,911.50 = 103,573.59/x
  3. Step 3: Cross multiply
    313,984.95x = 470,911.50 × 103,573.59
  4. Step 4: Simplify right side
    313,984.95x = 48,773,994,627.29
  5. Step 5: Solve for x
    x = 48,773,994,627.29/313,984.95
  6. Step 6: Final answer
    x = 155,338.64

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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.