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Finding the Fourth Proportional to 305,756.92, 458,714.58 and 116,220.52

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Solution

The fourth proportional to 305,756.92, 458,714.58 and 116,220.52 is: 174,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,756.92 : 458,714.58 = 116,220.52 : x
  2. Step 2: Convert to fraction form
    305,756.92/458,714.58 = 116,220.52/x
  3. Step 3: Cross multiply
    305,756.92x = 458,714.58 × 116,220.52
  4. Step 4: Simplify right side
    305,756.92x = 53,312,047,019.18
  5. Step 5: Solve for x
    x = 53,312,047,019.18/305,756.92
  6. Step 6: Final answer
    x = 174,360.88

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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.