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Finding the Fourth Proportional to 317,442.06, 438,075.42 and 174,215.43

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Solution

The fourth proportional to 317,442.06, 438,075.42 and 174,215.43 is: 240,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,442.06 : 438,075.42 = 174,215.43 : x
  2. Step 2: Convert to fraction form
    317,442.06/438,075.42 = 174,215.43/x
  3. Step 3: Cross multiply
    317,442.06x = 438,075.42 × 174,215.43
  4. Step 4: Simplify right side
    317,442.06x = 76,319,497,667.73
  5. Step 5: Solve for x
    x = 76,319,497,667.73/317,442.06
  6. Step 6: Final answer
    x = 240,420.24

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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.