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Finding the Fourth Proportional to 304,684.94, 420,460.07 and 168,715.98

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Solution

The fourth proportional to 304,684.94, 420,460.07 and 168,715.98 is: 232,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,684.94 : 420,460.07 = 168,715.98 : x
  2. Step 2: Convert to fraction form
    304,684.94/420,460.07 = 168,715.98/x
  3. Step 3: Cross multiply
    304,684.94x = 420,460.07 × 168,715.98
  4. Step 4: Simplify right side
    304,684.94x = 70,938,331,917.34
  5. Step 5: Solve for x
    x = 70,938,331,917.34/304,684.94
  6. Step 6: Final answer
    x = 232,825.20

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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.