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Finding the Fourth Proportional to 470,230.12, 648,478.74 and 362,627.56

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Solution

The fourth proportional to 470,230.12, 648,478.74 and 362,627.56 is: 500,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230.12 : 648,478.74 = 362,627.56 : x
  2. Step 2: Convert to fraction form
    470,230.12/648,478.74 = 362,627.56/x
  3. Step 3: Cross multiply
    470,230.12x = 648,478.74 × 362,627.56
  4. Step 4: Simplify right side
    470,230.12x = 235,156,263,198.07
  5. Step 5: Solve for x
    x = 235,156,263,198.07/470,230.12
  6. Step 6: Final answer
    x = 500,087.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.