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Finding the Fourth Proportional to 542,916.40, 814,763.40 and 306,007.60

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Solution

The fourth proportional to 542,916.40, 814,763.40 and 306,007.60 is: 459,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,916.40 : 814,763.40 = 306,007.60 : x
  2. Step 2: Convert to fraction form
    542,916.40/814,763.40 = 306,007.60/x
  3. Step 3: Cross multiply
    542,916.40x = 814,763.40 × 306,007.60
  4. Step 4: Simplify right side
    542,916.40x = 249,323,792,601.84
  5. Step 5: Solve for x
    x = 249,323,792,601.84/542,916.40
  6. Step 6: Final answer
    x = 459,230.54

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Why These Related Problems?

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