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Finding the Fourth Proportional to 315,584.04, 435,503.76 and 172,344.12

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Solution

The fourth proportional to 315,584.04, 435,503.76 and 172,344.12 is: 237,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,584.04 : 435,503.76 = 172,344.12 : x
  2. Step 2: Convert to fraction form
    315,584.04/435,503.76 = 172,344.12/x
  3. Step 3: Cross multiply
    315,584.04x = 435,503.76 × 172,344.12
  4. Step 4: Simplify right side
    315,584.04x = 75,056,512,273.89
  5. Step 5: Solve for x
    x = 75,056,512,273.89/315,584.04
  6. Step 6: Final answer
    x = 237,833.68

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1.5x scale

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.