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Finding the Fourth Proportional to 364,624.28, 546,936.42 and 98,384.80

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Solution

The fourth proportional to 364,624.28, 546,936.42 and 98,384.80 is: 147,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,624.28 : 546,936.42 = 98,384.80 : x
  2. Step 2: Convert to fraction form
    364,624.28/546,936.42 = 98,384.80/x
  3. Step 3: Cross multiply
    364,624.28x = 546,936.42 × 98,384.80
  4. Step 4: Simplify right side
    364,624.28x = 53,810,230,294.42
  5. Step 5: Solve for x
    x = 53,810,230,294.42/364,624.28
  6. Step 6: Final answer
    x = 147,577.20

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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.