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Finding the Fourth Proportional to 407,994.83, 563,021.71 and 226,702.11

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Solution

The fourth proportional to 407,994.83, 563,021.71 and 226,702.11 is: 312,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,994.83 : 563,021.71 = 226,702.11 : x
  2. Step 2: Convert to fraction form
    407,994.83/563,021.71 = 226,702.11/x
  3. Step 3: Cross multiply
    407,994.83x = 563,021.71 × 226,702.11
  4. Step 4: Simplify right side
    407,994.83x = 127,638,209,632.81
  5. Step 5: Solve for x
    x = 127,638,209,632.81/407,994.83
  6. Step 6: Final answer
    x = 312,842.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.