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Finding the Fourth Proportional to 685,771.76, 946,827.46 and 428,041.32

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Solution

The fourth proportional to 685,771.76, 946,827.46 and 428,041.32 is: 590,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,771.76 : 946,827.46 = 428,041.32 : x
  2. Step 2: Convert to fraction form
    685,771.76/946,827.46 = 428,041.32/x
  3. Step 3: Cross multiply
    685,771.76x = 946,827.46 × 428,041.32
  4. Step 4: Simplify right side
    685,771.76x = 405,281,275,790.65
  5. Step 5: Solve for x
    x = 405,281,275,790.65/685,771.76
  6. Step 6: Final answer
    x = 590,985.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.