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Finding the Fourth Proportional to 309,952.26, 464,895.59 and 99,573.80

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Solution

The fourth proportional to 309,952.26, 464,895.59 and 99,573.80 is: 149,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,952.26 : 464,895.59 = 99,573.80 : x
  2. Step 2: Convert to fraction form
    309,952.26/464,895.59 = 99,573.80/x
  3. Step 3: Cross multiply
    309,952.26x = 464,895.59 × 99,573.80
  4. Step 4: Simplify right side
    309,952.26x = 46,291,417,677.20
  5. Step 5: Solve for x
    x = 46,291,417,677.20/309,952.26
  6. Step 6: Final answer
    x = 149,350.15

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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.