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Finding the Fourth Proportional to 305,784.16, 458,705.20 and 118,810.08

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Solution

The fourth proportional to 305,784.16, 458,705.20 and 118,810.08 is: 178,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,784.16 : 458,705.20 = 118,810.08 : x
  2. Step 2: Convert to fraction form
    305,784.16/458,705.20 = 118,810.08/x
  3. Step 3: Cross multiply
    305,784.16x = 458,705.20 × 118,810.08
  4. Step 4: Simplify right side
    305,784.16x = 54,498,801,508.42
  5. Step 5: Solve for x
    x = 54,498,801,508.42/305,784.16
  6. Step 6: Final answer
    x = 178,226.37

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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.