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Finding the Fourth Proportional to 411,572.34, 617,399.01 and 127,251.81

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Solution

The fourth proportional to 411,572.34, 617,399.01 and 127,251.81 is: 190,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,572.34 : 617,399.01 = 127,251.81 : x
  2. Step 2: Convert to fraction form
    411,572.34/617,399.01 = 127,251.81/x
  3. Step 3: Cross multiply
    411,572.34x = 617,399.01 × 127,251.81
  4. Step 4: Simplify right side
    411,572.34x = 78,565,141,514.71
  5. Step 5: Solve for x
    x = 78,565,141,514.71/411,572.34
  6. Step 6: Final answer
    x = 190,890.24

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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.