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Finding the Fourth Proportional to 292,509.56, 438,764.34 and 70,893.56

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Solution

The fourth proportional to 292,509.56, 438,764.34 and 70,893.56 is: 106,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,509.56 : 438,764.34 = 70,893.56 : x
  2. Step 2: Convert to fraction form
    292,509.56/438,764.34 = 70,893.56/x
  3. Step 3: Cross multiply
    292,509.56x = 438,764.34 × 70,893.56
  4. Step 4: Simplify right side
    292,509.56x = 31,105,567,426.41
  5. Step 5: Solve for x
    x = 31,105,567,426.41/292,509.56
  6. Step 6: Final answer
    x = 106,340.34

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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.