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Finding the Fourth Proportional to 384,601.04, 576,902.00 and 100,291.34

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Solution

The fourth proportional to 384,601.04, 576,902.00 and 100,291.34 is: 150,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,601.04 : 576,902.00 = 100,291.34 : x
  2. Step 2: Convert to fraction form
    384,601.04/576,902.00 = 100,291.34/x
  3. Step 3: Cross multiply
    384,601.04x = 576,902.00 × 100,291.34
  4. Step 4: Simplify right side
    384,601.04x = 57,858,271,242.71
  5. Step 5: Solve for x
    x = 57,858,271,242.71/384,601.04
  6. Step 6: Final answer
    x = 150,437.12

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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.