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Finding the Fourth Proportional to 438,240.96, 604,942.56 and 257,112

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Solution

The fourth proportional to 438,240.96, 604,942.56 and 257,112 is: 354,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,240.96 : 604,942.56 = 257,112 : x
  2. Step 2: Convert to fraction form
    438,240.96/604,942.56 = 257,112/x
  3. Step 3: Cross multiply
    438,240.96x = 604,942.56 × 257,112
  4. Step 4: Simplify right side
    438,240.96x = 155,537,991,486.72
  5. Step 5: Solve for x
    x = 155,537,991,486.72/438,240.96
  6. Step 6: Final answer
    x = 354,914.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.