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Finding the Fourth Proportional to 507,197.08, 699,945.03 and 277,767.01

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Solution

The fourth proportional to 507,197.08, 699,945.03 and 277,767.01 is: 383,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,197.08 : 699,945.03 = 277,767.01 : x
  2. Step 2: Convert to fraction form
    507,197.08/699,945.03 = 277,767.01/x
  3. Step 3: Cross multiply
    507,197.08x = 699,945.03 × 277,767.01
  4. Step 4: Simplify right side
    507,197.08x = 194,421,638,147.46
  5. Step 5: Solve for x
    x = 194,421,638,147.46/507,197.08
  6. Step 6: Final answer
    x = 383,325.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.