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Finding the Fourth Proportional to 393,200.84, 589,801.62 and 97,712.84

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Solution

The fourth proportional to 393,200.84, 589,801.62 and 97,712.84 is: 146,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,200.84 : 589,801.62 = 97,712.84 : x
  2. Step 2: Convert to fraction form
    393,200.84/589,801.62 = 97,712.84/x
  3. Step 3: Cross multiply
    393,200.84x = 589,801.62 × 97,712.84
  4. Step 4: Simplify right side
    393,200.84x = 57,631,191,326.80
  5. Step 5: Solve for x
    x = 57,631,191,326.80/393,200.84
  6. Step 6: Final answer
    x = 146,569.35

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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.