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Finding the Fourth Proportional to 524,464.46, 786,479.81 and 164,515.25

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Solution

The fourth proportional to 524,464.46, 786,479.81 and 164,515.25 is: 246,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,464.46 : 786,479.81 = 164,515.25 : x
  2. Step 2: Convert to fraction form
    524,464.46/786,479.81 = 164,515.25/x
  3. Step 3: Cross multiply
    524,464.46x = 786,479.81 × 164,515.25
  4. Step 4: Simplify right side
    524,464.46x = 129,387,917,807.13
  5. Step 5: Solve for x
    x = 129,387,917,807.13/524,464.46
  6. Step 6: Final answer
    x = 246,704.84

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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.