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Finding the Fourth Proportional to 293,952.86, 405,728.43 and 180,710

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Solution

The fourth proportional to 293,952.86, 405,728.43 and 180,710 is: 249,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,952.86 : 405,728.43 = 180,710 : x
  2. Step 2: Convert to fraction form
    293,952.86/405,728.43 = 180,710/x
  3. Step 3: Cross multiply
    293,952.86x = 405,728.43 × 180,710
  4. Step 4: Simplify right side
    293,952.86x = 73,319,184,585.30
  5. Step 5: Solve for x
    x = 73,319,184,585.30/293,952.86
  6. Step 6: Final answer
    x = 249,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.