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Finding the Fourth Proportional to 393,200.08, 589,799.96 and 97,712.08

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Solution

The fourth proportional to 393,200.08, 589,799.96 and 97,712.08 is: 146,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,200.08 : 589,799.96 = 97,712.08 : x
  2. Step 2: Convert to fraction form
    393,200.08/589,799.96 = 97,712.08/x
  3. Step 3: Cross multiply
    393,200.08x = 589,799.96 × 97,712.08
  4. Step 4: Simplify right side
    393,200.08x = 57,630,580,875.52
  5. Step 5: Solve for x
    x = 57,630,580,875.52/393,200.08
  6. Step 6: Final answer
    x = 146,568.08

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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.