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Finding the Fourth Proportional to 405,818.22, 560,208.48 and 242,532.32

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Solution

The fourth proportional to 405,818.22, 560,208.48 and 242,532.32 is: 334,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,818.22 : 560,208.48 = 242,532.32 : x
  2. Step 2: Convert to fraction form
    405,818.22/560,208.48 = 242,532.32/x
  3. Step 3: Cross multiply
    405,818.22x = 560,208.48 × 242,532.32
  4. Step 4: Simplify right side
    405,818.22x = 135,868,662,338.07
  5. Step 5: Solve for x
    x = 135,868,662,338.07/405,818.22
  6. Step 6: Final answer
    x = 334,801.78

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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.