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Finding the Fourth Proportional to 314,715.18, 434,301.48 and 171,476.40

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Solution

The fourth proportional to 314,715.18, 434,301.48 and 171,476.40 is: 236,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,715.18 : 434,301.48 = 171,476.40 : x
  2. Step 2: Convert to fraction form
    314,715.18/434,301.48 = 171,476.40/x
  3. Step 3: Cross multiply
    314,715.18x = 434,301.48 × 171,476.40
  4. Step 4: Simplify right side
    314,715.18x = 74,472,454,305.07
  5. Step 5: Solve for x
    x = 74,472,454,305.07/314,715.18
  6. Step 6: Final answer
    x = 236,634.45

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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.