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Finding the Fourth Proportional to 411,960.40, 617,714.83 and 127,572.00

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Solution

The fourth proportional to 411,960.40, 617,714.83 and 127,572.00 is: 191,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,960.40 : 617,714.83 = 127,572.00 : x
  2. Step 2: Convert to fraction form
    411,960.40/617,714.83 = 127,572.00/x
  3. Step 3: Cross multiply
    411,960.40x = 617,714.83 × 127,572.00
  4. Step 4: Simplify right side
    411,960.40x = 78,803,112,566.33
  5. Step 5: Solve for x
    x = 78,803,112,566.33/411,960.40
  6. Step 6: Final answer
    x = 191,288.08

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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.