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Finding the Fourth Proportional to 686,751.80, 947,601.99 and 457,651.11

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Solution

The fourth proportional to 686,751.80, 947,601.99 and 457,651.11 is: 631,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,751.80 : 947,601.99 = 457,651.11 : x
  2. Step 2: Convert to fraction form
    686,751.80/947,601.99 = 457,651.11/x
  3. Step 3: Cross multiply
    686,751.80x = 947,601.99 × 457,651.11
  4. Step 4: Simplify right side
    686,751.80x = 433,671,102,561.71
  5. Step 5: Solve for x
    x = 433,671,102,561.71/686,751.80
  6. Step 6: Final answer
    x = 631,481.56

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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.