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Finding the Fourth Proportional to 470,191.92, 649,307.70 and 327,342.57

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Solution

The fourth proportional to 470,191.92, 649,307.70 and 327,342.57 is: 452,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,191.92 : 649,307.70 = 327,342.57 : x
  2. Step 2: Convert to fraction form
    470,191.92/649,307.70 = 327,342.57/x
  3. Step 3: Cross multiply
    470,191.92x = 649,307.70 × 327,342.57
  4. Step 4: Simplify right side
    470,191.92x = 212,546,051,238.79
  5. Step 5: Solve for x
    x = 212,546,051,238.79/470,191.92
  6. Step 6: Final answer
    x = 452,041.05

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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.