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Finding the Fourth Proportional to 294,617.53, 406,560.71 and 180,087.92

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Solution

The fourth proportional to 294,617.53, 406,560.71 and 180,087.92 is: 248,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,617.53 : 406,560.71 = 180,087.92 : x
  2. Step 2: Convert to fraction form
    294,617.53/406,560.71 = 180,087.92/x
  3. Step 3: Cross multiply
    294,617.53x = 406,560.71 × 180,087.92
  4. Step 4: Simplify right side
    294,617.53x = 73,216,671,717.18
  5. Step 5: Solve for x
    x = 73,216,671,717.18/294,617.53
  6. Step 6: Final answer
    x = 248,514.31

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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.