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Finding the Fourth Proportional to 506,765.92, 699,225.84 and 302,786.20

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Solution

The fourth proportional to 506,765.92, 699,225.84 and 302,786.20 is: 417,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,765.92 : 699,225.84 = 302,786.20 : x
  2. Step 2: Convert to fraction form
    506,765.92/699,225.84 = 302,786.20/x
  3. Step 3: Cross multiply
    506,765.92x = 699,225.84 × 302,786.20
  4. Step 4: Simplify right side
    506,765.92x = 211,715,935,035.41
  5. Step 5: Solve for x
    x = 211,715,935,035.41/506,765.92
  6. Step 6: Final answer
    x = 417,778.56

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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.