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Finding the Fourth Proportional to 497,233.80, 745,413.30 and 297,633.60

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Solution

The fourth proportional to 497,233.80, 745,413.30 and 297,633.60 is: 446,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,233.80 : 745,413.30 = 297,633.60 : x
  2. Step 2: Convert to fraction form
    497,233.80/745,413.30 = 297,633.60/x
  3. Step 3: Cross multiply
    497,233.80x = 745,413.30 × 297,633.60
  4. Step 4: Simplify right side
    497,233.80x = 221,860,043,966.88
  5. Step 5: Solve for x
    x = 221,860,043,966.88/497,233.80
  6. Step 6: Final answer
    x = 446,188.58

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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.