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Finding the Fourth Proportional to 510,450.42, 766,148.24 and 257,908.65

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Solution

The fourth proportional to 510,450.42, 766,148.24 and 257,908.65 is: 387,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,450.42 : 766,148.24 = 257,908.65 : x
  2. Step 2: Convert to fraction form
    510,450.42/766,148.24 = 257,908.65/x
  3. Step 3: Cross multiply
    510,450.42x = 766,148.24 × 257,908.65
  4. Step 4: Simplify right side
    510,450.42x = 197,596,256,988.73
  5. Step 5: Solve for x
    x = 197,596,256,988.73/510,450.42
  6. Step 6: Final answer
    x = 387,101.76

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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.