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Finding the Fourth Proportional to 397,709.02, 596,564.76 and 98,189.64

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Solution

The fourth proportional to 397,709.02, 596,564.76 and 98,189.64 is: 147,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,709.02 : 596,564.76 = 98,189.64 : x
  2. Step 2: Convert to fraction form
    397,709.02/596,564.76 = 98,189.64/x
  3. Step 3: Cross multiply
    397,709.02x = 596,564.76 × 98,189.64
  4. Step 4: Simplify right side
    397,709.02x = 58,576,476,038.26
  5. Step 5: Solve for x
    x = 58,576,476,038.26/397,709.02
  6. Step 6: Final answer
    x = 147,284.76

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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.