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Finding the Fourth Proportional to 600,004, 828,022.80 and 331,749.28

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Solution

The fourth proportional to 600,004, 828,022.80 and 331,749.28 is: 457,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,004 : 828,022.80 = 331,749.28 : x
  2. Step 2: Convert to fraction form
    600,004/828,022.80 = 331,749.28/x
  3. Step 3: Cross multiply
    600,004x = 828,022.80 × 331,749.28
  4. Step 4: Simplify right side
    600,004x = 274,695,967,723.58
  5. Step 5: Solve for x
    x = 274,695,967,723.58/600,004
  6. Step 6: Final answer
    x = 457,823.56

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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.