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Finding the Fourth Proportional to 612,986.76, 920,036.34 and 313,674.12

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Solution

The fourth proportional to 612,986.76, 920,036.34 and 313,674.12 is: 470,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,986.76 : 920,036.34 = 313,674.12 : x
  2. Step 2: Convert to fraction form
    612,986.76/920,036.34 = 313,674.12/x
  3. Step 3: Cross multiply
    612,986.76x = 920,036.34 × 313,674.12
  4. Step 4: Simplify right side
    612,986.76x = 288,591,589,317.52
  5. Step 5: Solve for x
    x = 288,591,589,317.52/612,986.76
  6. Step 6: Final answer
    x = 470,795.80

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1.5x scale

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.