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Finding the Fourth Proportional to 309,510.32, 464,270.94 and 109,842.08

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Solution

The fourth proportional to 309,510.32, 464,270.94 and 109,842.08 is: 164,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,510.32 : 464,270.94 = 109,842.08 : x
  2. Step 2: Convert to fraction form
    309,510.32/464,270.94 = 109,842.08/x
  3. Step 3: Cross multiply
    309,510.32x = 464,270.94 × 109,842.08
  4. Step 4: Simplify right side
    309,510.32x = 50,996,483,411.80
  5. Step 5: Solve for x
    x = 50,996,483,411.80/309,510.32
  6. Step 6: Final answer
    x = 164,765.05

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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.