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Finding the Fourth Proportional to 294,569.36, 406,495.08 and 180,039.68

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Solution

The fourth proportional to 294,569.36, 406,495.08 and 180,039.68 is: 248,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,569.36 : 406,495.08 = 180,039.68 : x
  2. Step 2: Convert to fraction form
    294,569.36/406,495.08 = 180,039.68/x
  3. Step 3: Cross multiply
    294,569.36x = 406,495.08 × 180,039.68
  4. Step 4: Simplify right side
    294,569.36x = 73,185,244,124.77
  5. Step 5: Solve for x
    x = 73,185,244,124.77/294,569.36
  6. Step 6: Final answer
    x = 248,448.26

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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.