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Finding the Fourth Proportional to 294,653.80, 406,611.44 and 180,124.28

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Solution

The fourth proportional to 294,653.80, 406,611.44 and 180,124.28 is: 248,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,653.80 : 406,611.44 = 180,124.28 : x
  2. Step 2: Convert to fraction form
    294,653.80/406,611.44 = 180,124.28/x
  3. Step 3: Cross multiply
    294,653.80x = 406,611.44 × 180,124.28
  4. Step 4: Simplify right side
    294,653.80x = 73,240,592,869.76
  5. Step 5: Solve for x
    x = 73,240,592,869.76/294,653.80
  6. Step 6: Final answer
    x = 248,564.90

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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.