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Finding the Fourth Proportional to 650,493.52, 975,178.94 and 313,069.93

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Solution

The fourth proportional to 650,493.52, 975,178.94 and 313,069.93 is: 469,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,493.52 : 975,178.94 = 313,069.93 : x
  2. Step 2: Convert to fraction form
    650,493.52/975,178.94 = 313,069.93/x
  3. Step 3: Cross multiply
    650,493.52x = 975,178.94 × 313,069.93
  4. Step 4: Simplify right side
    650,493.52x = 305,299,198,479.98
  5. Step 5: Solve for x
    x = 305,299,198,479.98/650,493.52
  6. Step 6: Final answer
    x = 469,334.73

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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.