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Finding the Fourth Proportional to 411,354.15, 617,108.42 and 186,730.31

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Solution

The fourth proportional to 411,354.15, 617,108.42 and 186,730.31 is: 280,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,354.15 : 617,108.42 = 186,730.31 : x
  2. Step 2: Convert to fraction form
    411,354.15/617,108.42 = 186,730.31/x
  3. Step 3: Cross multiply
    411,354.15x = 617,108.42 × 186,730.31
  4. Step 4: Simplify right side
    411,354.15x = 115,232,848,579.81
  5. Step 5: Solve for x
    x = 115,232,848,579.81/411,354.15
  6. Step 6: Final answer
    x = 280,130.51

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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.