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Finding the Fourth Proportional to 473,714.80, 710,226.60 and 193,087.60

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Solution

The fourth proportional to 473,714.80, 710,226.60 and 193,087.60 is: 289,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,714.80 : 710,226.60 = 193,087.60 : x
  2. Step 2: Convert to fraction form
    473,714.80/710,226.60 = 193,087.60/x
  3. Step 3: Cross multiply
    473,714.80x = 710,226.60 × 193,087.60
  4. Step 4: Simplify right side
    473,714.80x = 137,135,949,650.16
  5. Step 5: Solve for x
    x = 137,135,949,650.16/473,714.80
  6. Step 6: Final answer
    x = 289,490.53

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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.