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Finding the Fourth Proportional to 411,798.60, 617,804.31 and 241,164.33

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Solution

The fourth proportional to 411,798.60, 617,804.31 and 241,164.33 is: 361,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,798.60 : 617,804.31 = 241,164.33 : x
  2. Step 2: Convert to fraction form
    411,798.60/617,804.31 = 241,164.33/x
  3. Step 3: Cross multiply
    411,798.60x = 617,804.31 × 241,164.33
  4. Step 4: Simplify right side
    411,798.60x = 148,992,362,492.26
  5. Step 5: Solve for x
    x = 148,992,362,492.26/411,798.60
  6. Step 6: Final answer
    x = 361,808.81

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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.