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Finding the Fourth Proportional to 384,090.99, 575,952.06 and 181,518.51

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Solution

The fourth proportional to 384,090.99, 575,952.06 and 181,518.51 is: 272,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,090.99 : 575,952.06 = 181,518.51 : x
  2. Step 2: Convert to fraction form
    384,090.99/575,952.06 = 181,518.51/x
  3. Step 3: Cross multiply
    384,090.99x = 575,952.06 × 181,518.51
  4. Step 4: Simplify right side
    384,090.99x = 104,545,959,762.63
  5. Step 5: Solve for x
    x = 104,545,959,762.63/384,090.99
  6. Step 6: Final answer
    x = 272,190.61

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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.