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Finding the Fourth Proportional to 461,709.80, 692,564.70 and 406,413.80

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Solution

The fourth proportional to 461,709.80, 692,564.70 and 406,413.80 is: 609,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,709.80 : 692,564.70 = 406,413.80 : x
  2. Step 2: Convert to fraction form
    461,709.80/692,564.70 = 406,413.80/x
  3. Step 3: Cross multiply
    461,709.80x = 692,564.70 × 406,413.80
  4. Step 4: Simplify right side
    461,709.80x = 281,467,851,472.86
  5. Step 5: Solve for x
    x = 281,467,851,472.86/461,709.80
  6. Step 6: Final answer
    x = 609,620.70

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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.