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Finding the Fourth Proportional to 467,586.93, 700,267.05 and 298,583.76

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Solution

The fourth proportional to 467,586.93, 700,267.05 and 298,583.76 is: 447,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,586.93 : 700,267.05 = 298,583.76 : x
  2. Step 2: Convert to fraction form
    467,586.93/700,267.05 = 298,583.76/x
  3. Step 3: Cross multiply
    467,586.93x = 700,267.05 × 298,583.76
  4. Step 4: Simplify right side
    467,586.93x = 209,088,368,793.11
  5. Step 5: Solve for x
    x = 209,088,368,793.11/467,586.93
  6. Step 6: Final answer
    x = 447,164.70

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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.