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Finding the Fourth Proportional to 292,034.24, 438,054.84 and 114,624.80

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Solution

The fourth proportional to 292,034.24, 438,054.84 and 114,624.80 is: 171,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,034.24 : 438,054.84 = 114,624.80 : x
  2. Step 2: Convert to fraction form
    292,034.24/438,054.84 = 114,624.80/x
  3. Step 3: Cross multiply
    292,034.24x = 438,054.84 × 114,624.80
  4. Step 4: Simplify right side
    292,034.24x = 50,211,948,424.03
  5. Step 5: Solve for x
    x = 50,211,948,424.03/292,034.24
  6. Step 6: Final answer
    x = 171,938.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.