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Finding the Fourth Proportional to 463,992.70, 695,993.16 and 183,509.98

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Solution

The fourth proportional to 463,992.70, 695,993.16 and 183,509.98 is: 275,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,992.70 : 695,993.16 = 183,509.98 : x
  2. Step 2: Convert to fraction form
    463,992.70/695,993.16 = 183,509.98/x
  3. Step 3: Cross multiply
    463,992.70x = 695,993.16 × 183,509.98
  4. Step 4: Simplify right side
    463,992.70x = 127,721,690,871.74
  5. Step 5: Solve for x
    x = 127,721,690,871.74/463,992.70
  6. Step 6: Final answer
    x = 275,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.