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Finding the Fourth Proportional to 365,681.71, 504,642.06 and 204,526.46

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Solution

The fourth proportional to 365,681.71, 504,642.06 and 204,526.46 is: 282,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,681.71 : 504,642.06 = 204,526.46 : x
  2. Step 2: Convert to fraction form
    365,681.71/504,642.06 = 204,526.46/x
  3. Step 3: Cross multiply
    365,681.71x = 504,642.06 × 204,526.46
  4. Step 4: Simplify right side
    365,681.71x = 103,212,653,076.28
  5. Step 5: Solve for x
    x = 103,212,653,076.28/365,681.71
  6. Step 6: Final answer
    x = 282,247.24

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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.