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Finding the Fourth Proportional to 305,830.92, 458,746.36 and 95,486.88

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Solution

The fourth proportional to 305,830.92, 458,746.36 and 95,486.88 is: 143,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.92 : 458,746.36 = 95,486.88 : x
  2. Step 2: Convert to fraction form
    305,830.92/458,746.36 = 95,486.88/x
  3. Step 3: Cross multiply
    305,830.92x = 458,746.36 × 95,486.88
  4. Step 4: Simplify right side
    305,830.92x = 43,804,258,627.76
  5. Step 5: Solve for x
    x = 43,804,258,627.76/305,830.92
  6. Step 6: Final answer
    x = 143,230.31

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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.