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Finding the Fourth Proportional to 474,487.46, 711,895.19 and 296,782.74

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Solution

The fourth proportional to 474,487.46, 711,895.19 and 296,782.74 is: 445,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,487.46 : 711,895.19 = 296,782.74 : x
  2. Step 2: Convert to fraction form
    474,487.46/711,895.19 = 296,782.74/x
  3. Step 3: Cross multiply
    474,487.46x = 711,895.19 × 296,782.74
  4. Step 4: Simplify right side
    474,487.46x = 211,278,205,081.02
  5. Step 5: Solve for x
    x = 211,278,205,081.02/474,487.46
  6. Step 6: Final answer
    x = 445,276.69

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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.