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Finding the Fourth Proportional to 310,012, 465,022.32 and 88,396

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Solution

The fourth proportional to 310,012, 465,022.32 and 88,396 is: 132,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,012 : 465,022.32 = 88,396 : x
  2. Step 2: Convert to fraction form
    310,012/465,022.32 = 88,396/x
  3. Step 3: Cross multiply
    310,012x = 465,022.32 × 88,396
  4. Step 4: Simplify right side
    310,012x = 41,106,112,998.72
  5. Step 5: Solve for x
    x = 41,106,112,998.72/310,012
  6. Step 6: Final answer
    x = 132,595.23

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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.