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Finding the Fourth Proportional to 262,278, 393,483.42 and 75,289.50

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Solution

The fourth proportional to 262,278, 393,483.42 and 75,289.50 is: 112,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,278 : 393,483.42 = 75,289.50 : x
  2. Step 2: Convert to fraction form
    262,278/393,483.42 = 75,289.50/x
  3. Step 3: Cross multiply
    262,278x = 393,483.42 × 75,289.50
  4. Step 4: Simplify right side
    262,278x = 29,625,169,950.09
  5. Step 5: Solve for x
    x = 29,625,169,950.09/262,278
  6. Step 6: Final answer
    x = 112,953.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.