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Finding the Fourth Proportional to 473,270.06, 709,905.11 and 140,846.06

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Solution

The fourth proportional to 473,270.06, 709,905.11 and 140,846.06 is: 211,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,270.06 : 709,905.11 = 140,846.06 : x
  2. Step 2: Convert to fraction form
    473,270.06/709,905.11 = 140,846.06/x
  3. Step 3: Cross multiply
    473,270.06x = 709,905.11 × 140,846.06
  4. Step 4: Simplify right side
    473,270.06x = 99,987,338,787.90
  5. Step 5: Solve for x
    x = 99,987,338,787.90/473,270.06
  6. Step 6: Final answer
    x = 211,269.10

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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.