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Finding the Fourth Proportional to 298,762.76, 447,818.10 and 147,064.24

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Solution

The fourth proportional to 298,762.76, 447,818.10 and 147,064.24 is: 220,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,762.76 : 447,818.10 = 147,064.24 : x
  2. Step 2: Convert to fraction form
    298,762.76/447,818.10 = 147,064.24/x
  3. Step 3: Cross multiply
    298,762.76x = 447,818.10 × 147,064.24
  4. Step 4: Simplify right side
    298,762.76x = 65,858,028,534.74
  5. Step 5: Solve for x
    x = 65,858,028,534.74/298,762.76
  6. Step 6: Final answer
    x = 220,435.87

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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.