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Finding the Fourth Proportional to 709,516.98, 978,695.58 and 505,633.23

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Solution

The fourth proportional to 709,516.98, 978,695.58 and 505,633.23 is: 697,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,516.98 : 978,695.58 = 505,633.23 : x
  2. Step 2: Convert to fraction form
    709,516.98/978,695.58 = 505,633.23/x
  3. Step 3: Cross multiply
    709,516.98x = 978,695.58 × 505,633.23
  4. Step 4: Simplify right side
    709,516.98x = 494,861,007,302.12
  5. Step 5: Solve for x
    x = 494,861,007,302.12/709,516.98
  6. Step 6: Final answer
    x = 697,461.82

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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.