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Finding the Fourth Proportional to 309,303.88, 463,824.51 and 109,674.52

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Solution

The fourth proportional to 309,303.88, 463,824.51 and 109,674.52 is: 164,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,303.88 : 463,824.51 = 109,674.52 : x
  2. Step 2: Convert to fraction form
    309,303.88/463,824.51 = 109,674.52/x
  3. Step 3: Cross multiply
    309,303.88x = 463,824.51 × 109,674.52
  4. Step 4: Simplify right side
    309,303.88x = 50,869,730,498.49
  5. Step 5: Solve for x
    x = 50,869,730,498.49/309,303.88
  6. Step 6: Final answer
    x = 164,465.22

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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.