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Finding the Fourth Proportional to 353,114.20, 528,893.70 and 306,458.20

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Solution

The fourth proportional to 353,114.20, 528,893.70 and 306,458.20 is: 459,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,114.20 : 528,893.70 = 306,458.20 : x
  2. Step 2: Convert to fraction form
    353,114.20/528,893.70 = 306,458.20/x
  3. Step 3: Cross multiply
    353,114.20x = 528,893.70 × 306,458.20
  4. Step 4: Simplify right side
    353,114.20x = 162,083,811,293.34
  5. Step 5: Solve for x
    x = 162,083,811,293.34/353,114.20
  6. Step 6: Final answer
    x = 459,012.44

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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.