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Finding the Fourth Proportional to 473,704.40, 710,383.80 and 158,171.60

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Solution

The fourth proportional to 473,704.40, 710,383.80 and 158,171.60 is: 237,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,704.40 : 710,383.80 = 158,171.60 : x
  2. Step 2: Convert to fraction form
    473,704.40/710,383.80 = 158,171.60/x
  3. Step 3: Cross multiply
    473,704.40x = 710,383.80 × 158,171.60
  4. Step 4: Simplify right side
    473,704.40x = 112,362,542,260.08
  5. Step 5: Solve for x
    x = 112,362,542,260.08/473,704.40
  6. Step 6: Final answer
    x = 237,199.70

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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.