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Finding the Fourth Proportional to 277,597.74, 416,400 and 97,688.52

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Solution

The fourth proportional to 277,597.74, 416,400 and 97,688.52 is: 146,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,597.74 : 416,400 = 97,688.52 : x
  2. Step 2: Convert to fraction form
    277,597.74/416,400 = 97,688.52/x
  3. Step 3: Cross multiply
    277,597.74x = 416,400 × 97,688.52
  4. Step 4: Simplify right side
    277,597.74x = 40,677,499,728
  5. Step 5: Solve for x
    x = 40,677,499,728/277,597.74
  6. Step 6: Final answer
    x = 146,533.97

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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.