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Finding the Fourth Proportional to 415,993.16, 574,070.64 and 234,743.60

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Solution

The fourth proportional to 415,993.16, 574,070.64 and 234,743.60 is: 323,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,993.16 : 574,070.64 = 234,743.60 : x
  2. Step 2: Convert to fraction form
    415,993.16/574,070.64 = 234,743.60/x
  3. Step 3: Cross multiply
    415,993.16x = 574,070.64 × 234,743.60
  4. Step 4: Simplify right side
    415,993.16x = 134,759,408,687.90
  5. Step 5: Solve for x
    x = 134,759,408,687.90/415,993.16
  6. Step 6: Final answer
    x = 323,946.21

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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.