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Finding the Fourth Proportional to 517,114.77, 713,611.53 and 290,760.27

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Solution

The fourth proportional to 517,114.77, 713,611.53 and 290,760.27 is: 401,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,114.77 : 713,611.53 = 290,760.27 : x
  2. Step 2: Convert to fraction form
    517,114.77/713,611.53 = 290,760.27/x
  3. Step 3: Cross multiply
    517,114.77x = 713,611.53 × 290,760.27
  4. Step 4: Simplify right side
    517,114.77x = 207,489,881,137.91
  5. Step 5: Solve for x
    x = 207,489,881,137.91/517,114.77
  6. Step 6: Final answer
    x = 401,245.32

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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.