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Finding the Fourth Proportional to 504,092.45, 695,642.09 and 289,266.14

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Solution

The fourth proportional to 504,092.45, 695,642.09 and 289,266.14 is: 399,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,092.45 : 695,642.09 = 289,266.14 : x
  2. Step 2: Convert to fraction form
    504,092.45/695,642.09 = 289,266.14/x
  3. Step 3: Cross multiply
    504,092.45x = 695,642.09 × 289,266.14
  4. Step 4: Simplify right side
    504,092.45x = 201,225,697,271.29
  5. Step 5: Solve for x
    x = 201,225,697,271.29/504,092.45
  6. Step 6: Final answer
    x = 399,184.12

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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.