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Finding the Fourth Proportional to 405,796.56, 560,178.62 and 242,510.68

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Solution

The fourth proportional to 405,796.56, 560,178.62 and 242,510.68 is: 334,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,796.56 : 560,178.62 = 242,510.68 : x
  2. Step 2: Convert to fraction form
    405,796.56/560,178.62 = 242,510.68/x
  3. Step 3: Cross multiply
    405,796.56x = 560,178.62 × 242,510.68
  4. Step 4: Simplify right side
    405,796.56x = 135,849,298,057.66
  5. Step 5: Solve for x
    x = 135,849,298,057.66/405,796.56
  6. Step 6: Final answer
    x = 334,771.93

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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.