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Finding the Fourth Proportional to 364,035.30, 546,052.95 and 97,822.73

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Solution

The fourth proportional to 364,035.30, 546,052.95 and 97,822.73 is: 146,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,035.30 : 546,052.95 = 97,822.73 : x
  2. Step 2: Convert to fraction form
    364,035.30/546,052.95 = 97,822.73/x
  3. Step 3: Cross multiply
    364,035.30x = 546,052.95 × 97,822.73
  4. Step 4: Simplify right side
    364,035.30x = 53,416,390,293.55
  5. Step 5: Solve for x
    x = 53,416,390,293.55/364,035.30
  6. Step 6: Final answer
    x = 146,734.10

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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.