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Finding the Fourth Proportional to 330,077.64, 495,036.81 and 152,413.86

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Solution

The fourth proportional to 330,077.64, 495,036.81 and 152,413.86 is: 228,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,077.64 : 495,036.81 = 152,413.86 : x
  2. Step 2: Convert to fraction form
    330,077.64/495,036.81 = 152,413.86/x
  3. Step 3: Cross multiply
    330,077.64x = 495,036.81 × 152,413.86
  4. Step 4: Simplify right side
    330,077.64x = 75,450,471,054.19
  5. Step 5: Solve for x
    x = 75,450,471,054.19/330,077.64
  6. Step 6: Final answer
    x = 228,584.01

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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.