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Finding the Fourth Proportional to 353,143.80, 528,938.10 and 313,745.40

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Solution

The fourth proportional to 353,143.80, 528,938.10 and 313,745.40 is: 469,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,143.80 : 528,938.10 = 313,745.40 : x
  2. Step 2: Convert to fraction form
    353,143.80/528,938.10 = 313,745.40/x
  3. Step 3: Cross multiply
    353,143.80x = 528,938.10 × 313,745.40
  4. Step 4: Simplify right side
    353,143.80x = 165,951,895,759.74
  5. Step 5: Solve for x
    x = 165,951,895,759.74/353,143.80
  6. Step 6: Final answer
    x = 469,927.25

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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.