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Finding the Fourth Proportional to 317,415.31, 438,038.48 and 174,188.68

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Solution

The fourth proportional to 317,415.31, 438,038.48 and 174,188.68 is: 240,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415.31 : 438,038.48 = 174,188.68 : x
  2. Step 2: Convert to fraction form
    317,415.31/438,038.48 = 174,188.68/x
  3. Step 3: Cross multiply
    317,415.31x = 438,038.48 × 174,188.68
  4. Step 4: Simplify right side
    317,415.31x = 76,301,343,960.78
  5. Step 5: Solve for x
    x = 76,301,343,960.78/317,415.31
  6. Step 6: Final answer
    x = 240,383.32

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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.