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Finding the Fourth Proportional to 309,664.80, 464,510.70 and 85,019.40

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Solution

The fourth proportional to 309,664.80, 464,510.70 and 85,019.40 is: 127,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,664.80 : 464,510.70 = 85,019.40 : x
  2. Step 2: Convert to fraction form
    309,664.80/464,510.70 = 85,019.40/x
  3. Step 3: Cross multiply
    309,664.80x = 464,510.70 × 85,019.40
  4. Step 4: Simplify right side
    309,664.80x = 39,492,421,007.58
  5. Step 5: Solve for x
    x = 39,492,421,007.58/309,664.80
  6. Step 6: Final answer
    x = 127,532.81

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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.