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Finding the Fourth Proportional to 309,905.40, 464,987.70 and 99,607.80

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Solution

The fourth proportional to 309,905.40, 464,987.70 and 99,607.80 is: 149,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,905.40 : 464,987.70 = 99,607.80 : x
  2. Step 2: Convert to fraction form
    309,905.40/464,987.70 = 99,607.80/x
  3. Step 3: Cross multiply
    309,905.40x = 464,987.70 × 99,607.80
  4. Step 4: Simplify right side
    309,905.40x = 46,316,401,824.06
  5. Step 5: Solve for x
    x = 46,316,401,824.06/309,905.40
  6. Step 6: Final answer
    x = 149,453.36

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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.