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Finding the Fourth Proportional to 316,470.53, 436,718.46 and 180,548.48

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Solution

The fourth proportional to 316,470.53, 436,718.46 and 180,548.48 is: 249,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,470.53 : 436,718.46 = 180,548.48 : x
  2. Step 2: Convert to fraction form
    316,470.53/436,718.46 = 180,548.48/x
  3. Step 3: Cross multiply
    316,470.53x = 436,718.46 × 180,548.48
  4. Step 4: Simplify right side
    316,470.53x = 78,848,854,140.94
  5. Step 5: Solve for x
    x = 78,848,854,140.94/316,470.53
  6. Step 6: Final answer
    x = 249,150.70

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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.