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Finding the Fourth Proportional to 296,522, 409,201.80 and 162,386

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Solution

The fourth proportional to 296,522, 409,201.80 and 162,386 is: 224,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,522 : 409,201.80 = 162,386 : x
  2. Step 2: Convert to fraction form
    296,522/409,201.80 = 162,386/x
  3. Step 3: Cross multiply
    296,522x = 409,201.80 × 162,386
  4. Step 4: Simplify right side
    296,522x = 66,448,643,494.80
  5. Step 5: Solve for x
    x = 66,448,643,494.80/296,522
  6. Step 6: Final answer
    x = 224,093.47

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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.