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Finding the Fourth Proportional to 329,678.52, 494,557.82 and 93,021.23

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Solution

The fourth proportional to 329,678.52, 494,557.82 and 93,021.23 is: 139,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,678.52 : 494,557.82 = 93,021.23 : x
  2. Step 2: Convert to fraction form
    329,678.52/494,557.82 = 93,021.23/x
  3. Step 3: Cross multiply
    329,678.52x = 494,557.82 × 93,021.23
  4. Step 4: Simplify right side
    329,678.52x = 46,004,374,482.28
  5. Step 5: Solve for x
    x = 46,004,374,482.28/329,678.52
  6. Step 6: Final answer
    x = 139,543.14

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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.