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Finding the Fourth Proportional to 473,909.40, 709,712.10 and 251,803.80

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Solution

The fourth proportional to 473,909.40, 709,712.10 and 251,803.80 is: 377,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,909.40 : 709,712.10 = 251,803.80 : x
  2. Step 2: Convert to fraction form
    473,909.40/709,712.10 = 251,803.80/x
  3. Step 3: Cross multiply
    473,909.40x = 709,712.10 × 251,803.80
  4. Step 4: Simplify right side
    473,909.40x = 178,708,203,685.98
  5. Step 5: Solve for x
    x = 178,708,203,685.98/473,909.40
  6. Step 6: Final answer
    x = 377,093.60

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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.