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Finding the Fourth Proportional to 277,543.44, 416,333.70 and 97,607.28

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Solution

The fourth proportional to 277,543.44, 416,333.70 and 97,607.28 is: 146,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,543.44 : 416,333.70 = 97,607.28 : x
  2. Step 2: Convert to fraction form
    277,543.44/416,333.70 = 97,607.28/x
  3. Step 3: Cross multiply
    277,543.44x = 416,333.70 × 97,607.28
  4. Step 4: Simplify right side
    277,543.44x = 40,637,200,029.34
  5. Step 5: Solve for x
    x = 40,637,200,029.34/277,543.44
  6. Step 6: Final answer
    x = 146,417.44

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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.