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Finding the Fourth Proportional to 277,496.46, 415,574 and 158,807.98

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Solution

The fourth proportional to 277,496.46, 415,574 and 158,807.98 is: 237,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,496.46 : 415,574 = 158,807.98 : x
  2. Step 2: Convert to fraction form
    277,496.46/415,574 = 158,807.98/x
  3. Step 3: Cross multiply
    277,496.46x = 415,574 × 158,807.98
  4. Step 4: Simplify right side
    277,496.46x = 65,996,467,480.52
  5. Step 5: Solve for x
    x = 65,996,467,480.52/277,496.46
  6. Step 6: Final answer
    x = 237,828.14

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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.