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Finding the Fourth Proportional to 400,405.83, 552,560.06 and 219,117.77

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Solution

The fourth proportional to 400,405.83, 552,560.06 and 219,117.77 is: 302,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,405.83 : 552,560.06 = 219,117.77 : x
  2. Step 2: Convert to fraction form
    400,405.83/552,560.06 = 219,117.77/x
  3. Step 3: Cross multiply
    400,405.83x = 552,560.06 × 219,117.77
  4. Step 4: Simplify right side
    400,405.83x = 121,075,724,279.88
  5. Step 5: Solve for x
    x = 121,075,724,279.88/400,405.83
  6. Step 6: Final answer
    x = 302,382.52

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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.