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Finding the Fourth Proportional to 292,489, 438,733.56 and 105,500.48

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Solution

The fourth proportional to 292,489, 438,733.56 and 105,500.48 is: 158,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,489 : 438,733.56 = 105,500.48 : x
  2. Step 2: Convert to fraction form
    292,489/438,733.56 = 105,500.48/x
  3. Step 3: Cross multiply
    292,489x = 438,733.56 × 105,500.48
  4. Step 4: Simplify right side
    292,489x = 46,286,601,172.11
  5. Step 5: Solve for x
    x = 46,286,601,172.11/292,489
  6. Step 6: Final answer
    x = 158,250.74

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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.