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Finding the Fourth Proportional to 354,946.32, 489,868.88 and 202,021.70

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Solution

The fourth proportional to 354,946.32, 489,868.88 and 202,021.70 is: 278,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,946.32 : 489,868.88 = 202,021.70 : x
  2. Step 2: Convert to fraction form
    354,946.32/489,868.88 = 202,021.70/x
  3. Step 3: Cross multiply
    354,946.32x = 489,868.88 × 202,021.70
  4. Step 4: Simplify right side
    354,946.32x = 98,964,140,455.24
  5. Step 5: Solve for x
    x = 98,964,140,455.24/354,946.32
  6. Step 6: Final answer
    x = 278,814.39

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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.