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Finding the Fourth Proportional to 516,441.60, 774,662.94 and 161,457.48

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Solution

The fourth proportional to 516,441.60, 774,662.94 and 161,457.48 is: 242,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,441.60 : 774,662.94 = 161,457.48 : x
  2. Step 2: Convert to fraction form
    516,441.60/774,662.94 = 161,457.48/x
  3. Step 3: Cross multiply
    516,441.60x = 774,662.94 × 161,457.48
  4. Step 4: Simplify right side
    516,441.60x = 125,075,126,141.79
  5. Step 5: Solve for x
    x = 125,075,126,141.79/516,441.60
  6. Step 6: Final answer
    x = 242,186.39

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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.