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Finding the Fourth Proportional to 685,893.67, 946,861.46 and 456,832.15

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Solution

The fourth proportional to 685,893.67, 946,861.46 and 456,832.15 is: 630,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,893.67 : 946,861.46 = 456,832.15 : x
  2. Step 2: Convert to fraction form
    685,893.67/946,861.46 = 456,832.15/x
  3. Step 3: Cross multiply
    685,893.67x = 946,861.46 × 456,832.15
  4. Step 4: Simplify right side
    685,893.67x = 432,556,756,523.94
  5. Step 5: Solve for x
    x = 432,556,756,523.94/685,893.67
  6. Step 6: Final answer
    x = 630,646.96

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1.5x scale

Why These Related Problems?

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