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Finding the Fourth Proportional to 343,559.25, 473,914.79 and 214,273.27

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Solution

The fourth proportional to 343,559.25, 473,914.79 and 214,273.27 is: 295,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,559.25 : 473,914.79 = 214,273.27 : x
  2. Step 2: Convert to fraction form
    343,559.25/473,914.79 = 214,273.27/x
  3. Step 3: Cross multiply
    343,559.25x = 473,914.79 × 214,273.27
  4. Step 4: Simplify right side
    343,559.25x = 101,547,271,218.98
  5. Step 5: Solve for x
    x = 101,547,271,218.98/343,559.25
  6. Step 6: Final answer
    x = 295,574.26

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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.