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Finding the Fourth Proportional to 473,884.75, 710,951.60 and 170,309.54

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Solution

The fourth proportional to 473,884.75, 710,951.60 and 170,309.54 is: 255,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,884.75 : 710,951.60 = 170,309.54 : x
  2. Step 2: Convert to fraction form
    473,884.75/710,951.60 = 170,309.54/x
  3. Step 3: Cross multiply
    473,884.75x = 710,951.60 × 170,309.54
  4. Step 4: Simplify right side
    473,884.75x = 121,081,839,958.26
  5. Step 5: Solve for x
    x = 121,081,839,958.26/473,884.75
  6. Step 6: Final answer
    x = 255,509.05

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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.