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Finding the Fourth Proportional to 294,509.86, 406,412.93 and 179,980.11

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Solution

The fourth proportional to 294,509.86, 406,412.93 and 179,980.11 is: 248,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,509.86 : 406,412.93 = 179,980.11 : x
  2. Step 2: Convert to fraction form
    294,509.86/406,412.93 = 179,980.11/x
  3. Step 3: Cross multiply
    294,509.86x = 406,412.93 × 179,980.11
  4. Step 4: Simplify right side
    294,509.86x = 73,146,243,846.82
  5. Step 5: Solve for x
    x = 73,146,243,846.82/294,509.86
  6. Step 6: Final answer
    x = 248,366.03

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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.