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Finding the Fourth Proportional to 316,469.53, 436,717.08 and 180,547.48

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Solution

The fourth proportional to 316,469.53, 436,717.08 and 180,547.48 is: 249,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,469.53 : 436,717.08 = 180,547.48 : x
  2. Step 2: Convert to fraction form
    316,469.53/436,717.08 = 180,547.48/x
  3. Step 3: Cross multiply
    316,469.53x = 436,717.08 × 180,547.48
  4. Step 4: Simplify right side
    316,469.53x = 78,848,167,175.17
  5. Step 5: Solve for x
    x = 78,848,167,175.17/316,469.53
  6. Step 6: Final answer
    x = 249,149.32

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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.