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Finding the Fourth Proportional to 306,824.94, 460,034.37 and 146,924.46

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Solution

The fourth proportional to 306,824.94, 460,034.37 and 146,924.46 is: 220,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824.94 : 460,034.37 = 146,924.46 : x
  2. Step 2: Convert to fraction form
    306,824.94/460,034.37 = 146,924.46/x
  3. Step 3: Cross multiply
    306,824.94x = 460,034.37 × 146,924.46
  4. Step 4: Simplify right side
    306,824.94x = 67,590,301,393.69
  5. Step 5: Solve for x
    x = 67,590,301,393.69/306,824.94
  6. Step 6: Final answer
    x = 220,289.46

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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.