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Finding the Fourth Proportional to 493,706.90, 740,702.19 and 205,462.43

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Solution

The fourth proportional to 493,706.90, 740,702.19 and 205,462.43 is: 308,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,706.90 : 740,702.19 = 205,462.43 : x
  2. Step 2: Convert to fraction form
    493,706.90/740,702.19 = 205,462.43/x
  3. Step 3: Cross multiply
    493,706.90x = 740,702.19 × 205,462.43
  4. Step 4: Simplify right side
    493,706.90x = 152,186,468,160.21
  5. Step 5: Solve for x
    x = 152,186,468,160.21/493,706.90
  6. Step 6: Final answer
    x = 308,252.67

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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.