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Finding the Fourth Proportional to 827,205.20, 1,241,038.20 and 406,494.80

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Solution

The fourth proportional to 827,205.20, 1,241,038.20 and 406,494.80 is: 609,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,205.20 : 1,241,038.20 = 406,494.80 : x
  2. Step 2: Convert to fraction form
    827,205.20/1,241,038.20 = 406,494.80/x
  3. Step 3: Cross multiply
    827,205.20x = 1,241,038.20 × 406,494.80
  4. Step 4: Simplify right side
    827,205.20x = 504,475,574,901.36
  5. Step 5: Solve for x
    x = 504,475,574,901.36/827,205.20
  6. Step 6: Final answer
    x = 609,855.42

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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.