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Finding the Fourth Proportional to 415,942.38, 623,888.94 and 116,416.32

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Solution

The fourth proportional to 415,942.38, 623,888.94 and 116,416.32 is: 174,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942.38 : 623,888.94 = 116,416.32 : x
  2. Step 2: Convert to fraction form
    415,942.38/623,888.94 = 116,416.32/x
  3. Step 3: Cross multiply
    415,942.38x = 623,888.94 × 116,416.32
  4. Step 4: Simplify right side
    415,942.38x = 72,630,854,483.50
  5. Step 5: Solve for x
    x = 72,630,854,483.50/415,942.38
  6. Step 6: Final answer
    x = 174,617.59

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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.