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Finding the Fourth Proportional to 316,783.26, 437,051.52 and 180,719.10

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Solution

The fourth proportional to 316,783.26, 437,051.52 and 180,719.10 is: 249,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,783.26 : 437,051.52 = 180,719.10 : x
  2. Step 2: Convert to fraction form
    316,783.26/437,051.52 = 180,719.10/x
  3. Step 3: Cross multiply
    316,783.26x = 437,051.52 × 180,719.10
  4. Step 4: Simplify right side
    316,783.26x = 78,983,557,348.03
  5. Step 5: Solve for x
    x = 78,983,557,348.03/316,783.26
  6. Step 6: Final answer
    x = 249,329.96

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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.