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Finding the Fourth Proportional to 316,744.59, 437,114.60 and 180,775.81

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Solution

The fourth proportional to 316,744.59, 437,114.60 and 180,775.81 is: 249,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,744.59 : 437,114.60 = 180,775.81 : x
  2. Step 2: Convert to fraction form
    316,744.59/437,114.60 = 180,775.81/x
  3. Step 3: Cross multiply
    316,744.59x = 437,114.60 × 180,775.81
  4. Step 4: Simplify right side
    316,744.59x = 79,019,746,198.25
  5. Step 5: Solve for x
    x = 79,019,746,198.25/316,744.59
  6. Step 6: Final answer
    x = 249,474.65

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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.