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Finding the Fourth Proportional to 343,408.60, 473,916.18 and 200,145.52

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Solution

The fourth proportional to 343,408.60, 473,916.18 and 200,145.52 is: 276,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,408.60 : 473,916.18 = 200,145.52 : x
  2. Step 2: Convert to fraction form
    343,408.60/473,916.18 = 200,145.52/x
  3. Step 3: Cross multiply
    343,408.60x = 473,916.18 × 200,145.52
  4. Step 4: Simplify right side
    343,408.60x = 94,852,200,282.51
  5. Step 5: Solve for x
    x = 94,852,200,282.51/343,408.60
  6. Step 6: Final answer
    x = 276,207.99

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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.