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Finding the Fourth Proportional to 410,730.20, 616,117.32 and 130,269.32

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Solution

The fourth proportional to 410,730.20, 616,117.32 and 130,269.32 is: 195,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,730.20 : 616,117.32 = 130,269.32 : x
  2. Step 2: Convert to fraction form
    410,730.20/616,117.32 = 130,269.32/x
  3. Step 3: Cross multiply
    410,730.20x = 616,117.32 × 130,269.32
  4. Step 4: Simplify right side
    410,730.20x = 80,261,184,316.62
  5. Step 5: Solve for x
    x = 80,261,184,316.62/410,730.20
  6. Step 6: Final answer
    x = 195,410.96

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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.