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Finding the Fourth Proportional to 342,532.14, 473,146.16 and 262,943.16

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Solution

The fourth proportional to 342,532.14, 473,146.16 and 262,943.16 is: 363,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,532.14 : 473,146.16 = 262,943.16 : x
  2. Step 2: Convert to fraction form
    342,532.14/473,146.16 = 262,943.16/x
  3. Step 3: Cross multiply
    342,532.14x = 473,146.16 × 262,943.16
  4. Step 4: Simplify right side
    342,532.14x = 124,410,545,137.55
  5. Step 5: Solve for x
    x = 124,410,545,137.55/342,532.14
  6. Step 6: Final answer
    x = 363,208.38

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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.