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Finding the Fourth Proportional to 342,853.71, 473,119.63 and 189,889.46

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Solution

The fourth proportional to 342,853.71, 473,119.63 and 189,889.46 is: 262,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,853.71 : 473,119.63 = 189,889.46 : x
  2. Step 2: Convert to fraction form
    342,853.71/473,119.63 = 189,889.46/x
  3. Step 3: Cross multiply
    342,853.71x = 473,119.63 × 189,889.46
  4. Step 4: Simplify right side
    342,853.71x = 89,840,433,719.40
  5. Step 5: Solve for x
    x = 89,840,433,719.40/342,853.71
  6. Step 6: Final answer
    x = 262,037.22

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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.