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Finding the Fourth Proportional to 343,257.11, 473,719.76 and 207,324.12

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Solution

The fourth proportional to 343,257.11, 473,719.76 and 207,324.12 is: 286,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,257.11 : 473,719.76 = 207,324.12 : x
  2. Step 2: Convert to fraction form
    343,257.11/473,719.76 = 207,324.12/x
  3. Step 3: Cross multiply
    343,257.11x = 473,719.76 × 207,324.12
  4. Step 4: Simplify right side
    343,257.11x = 98,213,533,885.91
  5. Step 5: Solve for x
    x = 98,213,533,885.91/343,257.11
  6. Step 6: Final answer
    x = 286,122.36

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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.