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Finding the Fourth Proportional to 546,275.53, 819,403.57 and 209,224.81

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Solution

The fourth proportional to 546,275.53, 819,403.57 and 209,224.81 is: 313,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,275.53 : 819,403.57 = 209,224.81 : x
  2. Step 2: Convert to fraction form
    546,275.53/819,403.57 = 209,224.81/x
  3. Step 3: Cross multiply
    546,275.53x = 819,403.57 × 209,224.81
  4. Step 4: Simplify right side
    546,275.53x = 171,439,556,246.57
  5. Step 5: Solve for x
    x = 171,439,556,246.57/546,275.53
  6. Step 6: Final answer
    x = 313,833.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.