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Finding the Fourth Proportional to 291,573.23, 402,506.13 and 205,602.26

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Solution

The fourth proportional to 291,573.23, 402,506.13 and 205,602.26 is: 283,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,573.23 : 402,506.13 = 205,602.26 : x
  2. Step 2: Convert to fraction form
    291,573.23/402,506.13 = 205,602.26/x
  3. Step 3: Cross multiply
    291,573.23x = 402,506.13 × 205,602.26
  4. Step 4: Simplify right side
    291,573.23x = 82,756,167,979.32
  5. Step 5: Solve for x
    x = 82,756,167,979.32/291,573.23
  6. Step 6: Final answer
    x = 283,826.36

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