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Finding the Fourth Proportional to 507,265.42, 700,026.52 and 277,837.16

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Solution

The fourth proportional to 507,265.42, 700,026.52 and 277,837.16 is: 383,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,265.42 : 700,026.52 = 277,837.16 : x
  2. Step 2: Convert to fraction form
    507,265.42/700,026.52 = 277,837.16/x
  3. Step 3: Cross multiply
    507,265.42x = 700,026.52 × 277,837.16
  4. Step 4: Simplify right side
    507,265.42x = 194,493,383,060.25
  5. Step 5: Solve for x
    x = 194,493,383,060.25/507,265.42
  6. Step 6: Final answer
    x = 383,415.42

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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.