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Finding the Fourth Proportional to 384,613.06, 576,920.02 and 100,303.36

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Solution

The fourth proportional to 384,613.06, 576,920.02 and 100,303.36 is: 150,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,613.06 : 576,920.02 = 100,303.36 : x
  2. Step 2: Convert to fraction form
    384,613.06/576,920.02 = 100,303.36/x
  3. Step 3: Cross multiply
    384,613.06x = 576,920.02 × 100,303.36
  4. Step 4: Simplify right side
    384,613.06x = 57,867,016,457.27
  5. Step 5: Solve for x
    x = 57,867,016,457.27/384,613.06
  6. Step 6: Final answer
    x = 150,455.15

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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.