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Finding the Fourth Proportional to 316,559.84, 436,894.17 and 180,562.64

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Solution

The fourth proportional to 316,559.84, 436,894.17 and 180,562.64 is: 249,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,559.84 : 436,894.17 = 180,562.64 : x
  2. Step 2: Convert to fraction form
    316,559.84/436,894.17 = 180,562.64/x
  3. Step 3: Cross multiply
    316,559.84x = 436,894.17 × 180,562.64
  4. Step 4: Simplify right side
    316,559.84x = 78,886,764,735.81
  5. Step 5: Solve for x
    x = 78,886,764,735.81/316,559.84
  6. Step 6: Final answer
    x = 249,200.17

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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.