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Finding the Fourth Proportional to 314,677.12, 434,252.16 and 171,437.12

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Solution

The fourth proportional to 314,677.12, 434,252.16 and 171,437.12 is: 236,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,677.12 : 434,252.16 = 171,437.12 : x
  2. Step 2: Convert to fraction form
    314,677.12/434,252.16 = 171,437.12/x
  3. Step 3: Cross multiply
    314,677.12x = 434,252.16 × 171,437.12
  4. Step 4: Simplify right side
    314,677.12x = 74,446,939,664.18
  5. Step 5: Solve for x
    x = 74,446,939,664.18/314,677.12
  6. Step 6: Final answer
    x = 236,581.99

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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.