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Finding the Fourth Proportional to 277,117.47, 414,638.15 and 197,339.76

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Solution

The fourth proportional to 277,117.47, 414,638.15 and 197,339.76 is: 295,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,117.47 : 414,638.15 = 197,339.76 : x
  2. Step 2: Convert to fraction form
    277,117.47/414,638.15 = 197,339.76/x
  3. Step 3: Cross multiply
    277,117.47x = 414,638.15 × 197,339.76
  4. Step 4: Simplify right side
    277,117.47x = 81,824,592,021.15
  5. Step 5: Solve for x
    x = 81,824,592,021.15/277,117.47
  6. Step 6: Final answer
    x = 295,270.42

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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.