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Finding the Fourth Proportional to 473,152.20, 709,728.30 and 140,728.20

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Solution

The fourth proportional to 473,152.20, 709,728.30 and 140,728.20 is: 211,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,152.20 : 709,728.30 = 140,728.20 : x
  2. Step 2: Convert to fraction form
    473,152.20/709,728.30 = 140,728.20/x
  3. Step 3: Cross multiply
    473,152.20x = 709,728.30 × 140,728.20
  4. Step 4: Simplify right side
    473,152.20x = 99,878,786,148.06
  5. Step 5: Solve for x
    x = 99,878,786,148.06/473,152.20
  6. Step 6: Final answer
    x = 211,092.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.