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Finding the Fourth Proportional to 507,342.72, 700,105.88 and 277,888.14

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Solution

The fourth proportional to 507,342.72, 700,105.88 and 277,888.14 is: 383,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,342.72 : 700,105.88 = 277,888.14 : x
  2. Step 2: Convert to fraction form
    507,342.72/700,105.88 = 277,888.14/x
  3. Step 3: Cross multiply
    507,342.72x = 700,105.88 × 277,888.14
  4. Step 4: Simplify right side
    507,342.72x = 194,551,120,796.26
  5. Step 5: Solve for x
    x = 194,551,120,796.26/507,342.72
  6. Step 6: Final answer
    x = 383,470.80

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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.