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Finding the Fourth Proportional to 493,169.40, 739,754.10 and 314,710.20

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Solution

The fourth proportional to 493,169.40, 739,754.10 and 314,710.20 is: 472,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,169.40 : 739,754.10 = 314,710.20 : x
  2. Step 2: Convert to fraction form
    493,169.40/739,754.10 = 314,710.20/x
  3. Step 3: Cross multiply
    493,169.40x = 739,754.10 × 314,710.20
  4. Step 4: Simplify right side
    493,169.40x = 232,808,160,761.82
  5. Step 5: Solve for x
    x = 232,808,160,761.82/493,169.40
  6. Step 6: Final answer
    x = 472,065.30

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Similar ratio
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1.5x scale

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.