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Finding the Fourth Proportional to 473,048.70, 709,573.05 and 402,189.90

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Solution

The fourth proportional to 473,048.70, 709,573.05 and 402,189.90 is: 603,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,048.70 : 709,573.05 = 402,189.90 : x
  2. Step 2: Convert to fraction form
    473,048.70/709,573.05 = 402,189.90/x
  3. Step 3: Cross multiply
    473,048.70x = 709,573.05 × 402,189.90
  4. Step 4: Simplify right side
    473,048.70x = 285,383,114,022.20
  5. Step 5: Solve for x
    x = 285,383,114,022.20/473,048.70
  6. Step 6: Final answer
    x = 603,284.85

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Similar ratio
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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.