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Finding the Fourth Proportional to 277,368.40, 416,052.60 and 207,384.40

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Solution

The fourth proportional to 277,368.40, 416,052.60 and 207,384.40 is: 311,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,368.40 : 416,052.60 = 207,384.40 : x
  2. Step 2: Convert to fraction form
    277,368.40/416,052.60 = 207,384.40/x
  3. Step 3: Cross multiply
    277,368.40x = 416,052.60 × 207,384.40
  4. Step 4: Simplify right side
    277,368.40x = 86,282,818,819.44
  5. Step 5: Solve for x
    x = 86,282,818,819.44/277,368.40
  6. Step 6: Final answer
    x = 311,076.60

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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.