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Finding the Fourth Proportional to 946,866, 1,306,654.86 and 517,147.86

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Solution

The fourth proportional to 946,866, 1,306,654.86 and 517,147.86 is: 713,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,866 : 1,306,654.86 = 517,147.86 : x
  2. Step 2: Convert to fraction form
    946,866/1,306,654.86 = 517,147.86/x
  3. Step 3: Cross multiply
    946,866x = 1,306,654.86 × 517,147.86
  4. Step 4: Simplify right side
    946,866x = 675,733,764,607.60
  5. Step 5: Solve for x
    x = 675,733,764,607.60/946,866
  6. Step 6: Final answer
    x = 713,653.00

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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.