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Finding the Fourth Proportional to 538,294.80, 809,191.80 and 461,312.40

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Solution

The fourth proportional to 538,294.80, 809,191.80 and 461,312.40 is: 693,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,294.80 : 809,191.80 = 461,312.40 : x
  2. Step 2: Convert to fraction form
    538,294.80/809,191.80 = 461,312.40/x
  3. Step 3: Cross multiply
    538,294.80x = 809,191.80 × 461,312.40
  4. Step 4: Simplify right side
    538,294.80x = 373,290,211,318.32
  5. Step 5: Solve for x
    x = 373,290,211,318.32/538,294.80
  6. Step 6: Final answer
    x = 693,467.99

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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.