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Finding the Fourth Proportional to 277,401.80, 416,102.70 and 249,408.20

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Solution

The fourth proportional to 277,401.80, 416,102.70 and 249,408.20 is: 374,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,401.80 : 416,102.70 = 249,408.20 : x
  2. Step 2: Convert to fraction form
    277,401.80/416,102.70 = 249,408.20/x
  3. Step 3: Cross multiply
    277,401.80x = 416,102.70 × 249,408.20
  4. Step 4: Simplify right side
    277,401.80x = 103,779,425,422.14
  5. Step 5: Solve for x
    x = 103,779,425,422.14/277,401.80
  6. Step 6: Final answer
    x = 374,112.30

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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.