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Finding the Fourth Proportional to 343,271.94, 473,743.22 and 190,358.01

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Solution

The fourth proportional to 343,271.94, 473,743.22 and 190,358.01 is: 262,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,271.94 : 473,743.22 = 190,358.01 : x
  2. Step 2: Convert to fraction form
    343,271.94/473,743.22 = 190,358.01/x
  3. Step 3: Cross multiply
    343,271.94x = 473,743.22 × 190,358.01
  4. Step 4: Simplify right side
    343,271.94x = 90,180,815,658.40
  5. Step 5: Solve for x
    x = 90,180,815,658.40/343,271.94
  6. Step 6: Final answer
    x = 262,709.55

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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.