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Finding the Fourth Proportional to 313,262.96, 432,303.52 and 185,964.08

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Solution

The fourth proportional to 313,262.96, 432,303.52 and 185,964.08 is: 256,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,262.96 : 432,303.52 = 185,964.08 : x
  2. Step 2: Convert to fraction form
    313,262.96/432,303.52 = 185,964.08/x
  3. Step 3: Cross multiply
    313,262.96x = 432,303.52 × 185,964.08
  4. Step 4: Simplify right side
    313,262.96x = 80,392,926,377.56
  5. Step 5: Solve for x
    x = 80,392,926,377.56/313,262.96
  6. Step 6: Final answer
    x = 256,630.81

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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.