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Finding the Fourth Proportional to 522,909.04, 784,494.36 and 148,932.04

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Solution

The fourth proportional to 522,909.04, 784,494.36 and 148,932.04 is: 223,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,909.04 : 784,494.36 = 148,932.04 : x
  2. Step 2: Convert to fraction form
    522,909.04/784,494.36 = 148,932.04/x
  3. Step 3: Cross multiply
    522,909.04x = 784,494.36 × 148,932.04
  4. Step 4: Simplify right side
    522,909.04x = 116,836,345,403.29
  5. Step 5: Solve for x
    x = 116,836,345,403.29/522,909.04
  6. Step 6: Final answer
    x = 223,435.31

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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.