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Finding the Fourth Proportional to 613,712.84, 920,602.07 and 193,021.52

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Solution

The fourth proportional to 613,712.84, 920,602.07 and 193,021.52 is: 289,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,712.84 : 920,602.07 = 193,021.52 : x
  2. Step 2: Convert to fraction form
    613,712.84/920,602.07 = 193,021.52/x
  3. Step 3: Cross multiply
    613,712.84x = 920,602.07 × 193,021.52
  4. Step 4: Simplify right side
    613,712.84x = 177,696,010,866.55
  5. Step 5: Solve for x
    x = 177,696,010,866.55/613,712.84
  6. Step 6: Final answer
    x = 289,542.60

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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.