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Finding the Fourth Proportional to 385,483.84, 577,914.10 and 161,016.24

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Solution

The fourth proportional to 385,483.84, 577,914.10 and 161,016.24 is: 241,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,483.84 : 577,914.10 = 161,016.24 : x
  2. Step 2: Convert to fraction form
    385,483.84/577,914.10 = 161,016.24/x
  3. Step 3: Cross multiply
    385,483.84x = 577,914.10 × 161,016.24
  4. Step 4: Simplify right side
    385,483.84x = 93,053,555,424.98
  5. Step 5: Solve for x
    x = 93,053,555,424.98/385,483.84
  6. Step 6: Final answer
    x = 241,394.18

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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.