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Finding the Fourth Proportional to 475,057.60, 712,608.48 and 264,537.52

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Solution

The fourth proportional to 475,057.60, 712,608.48 and 264,537.52 is: 396,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,057.60 : 712,608.48 = 264,537.52 : x
  2. Step 2: Convert to fraction form
    475,057.60/712,608.48 = 264,537.52/x
  3. Step 3: Cross multiply
    475,057.60x = 712,608.48 × 264,537.52
  4. Step 4: Simplify right side
    475,057.60x = 188,511,680,030.17
  5. Step 5: Solve for x
    x = 188,511,680,030.17/475,057.60
  6. Step 6: Final answer
    x = 396,818.58

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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.