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Finding the Fourth Proportional to 313,829.80, 470,744.70 and 301,582.60

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Solution

The fourth proportional to 313,829.80, 470,744.70 and 301,582.60 is: 452,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,829.80 : 470,744.70 = 301,582.60 : x
  2. Step 2: Convert to fraction form
    313,829.80/470,744.70 = 301,582.60/x
  3. Step 3: Cross multiply
    313,829.80x = 470,744.70 × 301,582.60
  4. Step 4: Simplify right side
    313,829.80x = 141,968,410,562.22
  5. Step 5: Solve for x
    x = 141,968,410,562.22/313,829.80
  6. Step 6: Final answer
    x = 452,373.90

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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.