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Finding the Fourth Proportional to 407,051.30, 610,467.60 and 140,893.40

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Solution

The fourth proportional to 407,051.30, 610,467.60 and 140,893.40 is: 211,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,051.30 : 610,467.60 = 140,893.40 : x
  2. Step 2: Convert to fraction form
    407,051.30/610,467.60 = 140,893.40/x
  3. Step 3: Cross multiply
    407,051.30x = 610,467.60 × 140,893.40
  4. Step 4: Simplify right side
    407,051.30x = 86,010,855,753.84
  5. Step 5: Solve for x
    x = 86,010,855,753.84/407,051.30
  6. Step 6: Final answer
    x = 211,302.25

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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.