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Finding the Fourth Proportional to 356,413.20, 534,763.80 and 156,771.60

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Solution

The fourth proportional to 356,413.20, 534,763.80 and 156,771.60 is: 235,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,413.20 : 534,763.80 = 156,771.60 : x
  2. Step 2: Convert to fraction form
    356,413.20/534,763.80 = 156,771.60/x
  3. Step 3: Cross multiply
    356,413.20x = 534,763.80 × 156,771.60
  4. Step 4: Simplify right side
    356,413.20x = 83,835,776,548.08
  5. Step 5: Solve for x
    x = 83,835,776,548.08/356,413.20
  6. Step 6: Final answer
    x = 235,220.74

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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.