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Finding the Fourth Proportional to 357,890.74, 536,442.45 and 147,413.86

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Solution

The fourth proportional to 357,890.74, 536,442.45 and 147,413.86 is: 220,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,890.74 : 536,442.45 = 147,413.86 : x
  2. Step 2: Convert to fraction form
    357,890.74/536,442.45 = 147,413.86/x
  3. Step 3: Cross multiply
    357,890.74x = 536,442.45 × 147,413.86
  4. Step 4: Simplify right side
    357,890.74x = 79,079,050,328.45
  5. Step 5: Solve for x
    x = 79,079,050,328.45/357,890.74
  6. Step 6: Final answer
    x = 220,958.64

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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.