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Finding the Fourth Proportional to 685,895.92, 946,864.56 and 456,834.40

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Solution

The fourth proportional to 685,895.92, 946,864.56 and 456,834.40 is: 630,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,895.92 : 946,864.56 = 456,834.40 : x
  2. Step 2: Convert to fraction form
    685,895.92/946,864.56 = 456,834.40/x
  3. Step 3: Cross multiply
    685,895.92x = 946,864.56 × 456,834.40
  4. Step 4: Simplify right side
    685,895.92x = 432,560,303,148.86
  5. Step 5: Solve for x
    x = 432,560,303,148.86/685,895.92
  6. Step 6: Final answer
    x = 630,650.06

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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.