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Finding the Fourth Proportional to 316,570.26, 436,908.72 and 180,573.06

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Solution

The fourth proportional to 316,570.26, 436,908.72 and 180,573.06 is: 249,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,570.26 : 436,908.72 = 180,573.06 : x
  2. Step 2: Convert to fraction form
    316,570.26/436,908.72 = 180,573.06/x
  3. Step 3: Cross multiply
    316,570.26x = 436,908.72 × 180,573.06
  4. Step 4: Simplify right side
    316,570.26x = 78,893,944,511.08
  5. Step 5: Solve for x
    x = 78,893,944,511.08/316,570.26
  6. Step 6: Final answer
    x = 249,214.64

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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.