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Finding the Fourth Proportional to 277,134.71, 414,663.93 and 197,357.00

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Solution

The fourth proportional to 277,134.71, 414,663.93 and 197,357.00 is: 295,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,134.71 : 414,663.93 = 197,357.00 : x
  2. Step 2: Convert to fraction form
    277,134.71/414,663.93 = 197,357.00/x
  3. Step 3: Cross multiply
    277,134.71x = 414,663.93 × 197,357.00
  4. Step 4: Simplify right side
    277,134.71x = 81,836,827,159.69
  5. Step 5: Solve for x
    x = 81,836,827,159.69/277,134.71
  6. Step 6: Final answer
    x = 295,296.21

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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.