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Finding the Fourth Proportional to 257,935.83, 384,809.24 and 243,985.11

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Solution

The fourth proportional to 257,935.83, 384,809.24 and 243,985.11 is: 363,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,935.83 : 384,809.24 = 243,985.11 : x
  2. Step 2: Convert to fraction form
    257,935.83/384,809.24 = 243,985.11/x
  3. Step 3: Cross multiply
    257,935.83x = 384,809.24 × 243,985.11
  4. Step 4: Simplify right side
    257,935.83x = 93,887,723,530.49
  5. Step 5: Solve for x
    x = 93,887,723,530.49/257,935.83
  6. Step 6: Final answer
    x = 363,996.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.