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Finding the Fourth Proportional to 325,830.80, 488,746.20 and 115,441.40

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Solution

The fourth proportional to 325,830.80, 488,746.20 and 115,441.40 is: 173,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,830.80 : 488,746.20 = 115,441.40 : x
  2. Step 2: Convert to fraction form
    325,830.80/488,746.20 = 115,441.40/x
  3. Step 3: Cross multiply
    325,830.80x = 488,746.20 × 115,441.40
  4. Step 4: Simplify right side
    325,830.80x = 56,421,545,572.68
  5. Step 5: Solve for x
    x = 56,421,545,572.68/325,830.80
  6. Step 6: Final answer
    x = 173,162.10

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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.