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Finding the Fourth Proportional to 601,137.48, 901,368.38 and 411,811.32

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Solution

The fourth proportional to 601,137.48, 901,368.38 and 411,811.32 is: 617,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,137.48 : 901,368.38 = 411,811.32 : x
  2. Step 2: Convert to fraction form
    601,137.48/901,368.38 = 411,811.32/x
  3. Step 3: Cross multiply
    601,137.48x = 901,368.38 × 411,811.32
  4. Step 4: Simplify right side
    601,137.48x = 371,193,702,374.06
  5. Step 5: Solve for x
    x = 371,193,702,374.06/601,137.48
  6. Step 6: Final answer
    x = 617,485.54

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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.