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Finding the Fourth Proportional to 334,413.60, 501,620.40 and 157,266.60

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Solution

The fourth proportional to 334,413.60, 501,620.40 and 157,266.60 is: 235,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,413.60 : 501,620.40 = 157,266.60 : x
  2. Step 2: Convert to fraction form
    334,413.60/501,620.40 = 157,266.60/x
  3. Step 3: Cross multiply
    334,413.60x = 501,620.40 × 157,266.60
  4. Step 4: Simplify right side
    334,413.60x = 78,888,134,798.64
  5. Step 5: Solve for x
    x = 78,888,134,798.64/334,413.60
  6. Step 6: Final answer
    x = 235,899.90

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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.