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Finding the Fourth Proportional to 574,690, 862,030.16 and 214,951.60

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Solution

The fourth proportional to 574,690, 862,030.16 and 214,951.60 is: 322,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,690 : 862,030.16 = 214,951.60 : x
  2. Step 2: Convert to fraction form
    574,690/862,030.16 = 214,951.60/x
  3. Step 3: Cross multiply
    574,690x = 862,030.16 × 214,951.60
  4. Step 4: Simplify right side
    574,690x = 185,294,762,140.26
  5. Step 5: Solve for x
    x = 185,294,762,140.26/574,690
  6. Step 6: Final answer
    x = 322,425.59

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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.