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Finding the Fourth Proportional to 517,167, 713,683.44 and 290,813.04

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Solution

The fourth proportional to 517,167, 713,683.44 and 290,813.04 is: 401,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,167 : 713,683.44 = 290,813.04 : x
  2. Step 2: Convert to fraction form
    517,167/713,683.44 = 290,813.04/x
  3. Step 3: Cross multiply
    517,167x = 713,683.44 × 290,813.04
  4. Step 4: Simplify right side
    517,167x = 207,548,450,784.06
  5. Step 5: Solve for x
    x = 207,548,450,784.06/517,167
  6. Step 6: Final answer
    x = 401,318.05

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1.5x scale

Why These Related Problems?

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