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Finding the Fourth Proportional to 398,413.32, 549,810.39 and 219,565.32

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Solution

The fourth proportional to 398,413.32, 549,810.39 and 219,565.32 is: 303,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,413.32 : 549,810.39 = 219,565.32 : x
  2. Step 2: Convert to fraction form
    398,413.32/549,810.39 = 219,565.32/x
  3. Step 3: Cross multiply
    398,413.32x = 549,810.39 × 219,565.32
  4. Step 4: Simplify right side
    398,413.32x = 120,719,294,219.68
  5. Step 5: Solve for x
    x = 120,719,294,219.68/398,413.32
  6. Step 6: Final answer
    x = 303,000.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.