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Finding the Fourth Proportional to 277,312.60, 415,094.10 and 198,580.60

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Solution

The fourth proportional to 277,312.60, 415,094.10 and 198,580.60 is: 297,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,312.60 : 415,094.10 = 198,580.60 : x
  2. Step 2: Convert to fraction form
    277,312.60/415,094.10 = 198,580.60/x
  3. Step 3: Cross multiply
    277,312.60x = 415,094.10 × 198,580.60
  4. Step 4: Simplify right side
    277,312.60x = 82,429,635,434.46
  5. Step 5: Solve for x
    x = 82,429,635,434.46/277,312.60
  6. Step 6: Final answer
    x = 297,244.47

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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.