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Finding the Fourth Proportional to 566,384.43, 849,604.65 and 161,636.30

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Solution

The fourth proportional to 566,384.43, 849,604.65 and 161,636.30 is: 242,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,384.43 : 849,604.65 = 161,636.30 : x
  2. Step 2: Convert to fraction form
    566,384.43/849,604.65 = 161,636.30/x
  3. Step 3: Cross multiply
    566,384.43x = 849,604.65 × 161,636.30
  4. Step 4: Simplify right side
    566,384.43x = 137,326,947,840.77
  5. Step 5: Solve for x
    x = 137,326,947,840.77/566,384.43
  6. Step 6: Final answer
    x = 242,462.43

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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.