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Finding the Fourth Proportional to 368,674.88, 508,762.96 and 205,330.28

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Solution

The fourth proportional to 368,674.88, 508,762.96 and 205,330.28 is: 283,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,674.88 : 508,762.96 = 205,330.28 : x
  2. Step 2: Convert to fraction form
    368,674.88/508,762.96 = 205,330.28/x
  3. Step 3: Cross multiply
    368,674.88x = 508,762.96 × 205,330.28
  4. Step 4: Simplify right side
    368,674.88x = 104,464,437,973.29
  5. Step 5: Solve for x
    x = 104,464,437,973.29/368,674.88
  6. Step 6: Final answer
    x = 283,351.12

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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.