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Finding the Fourth Proportional to 523,133.46, 784,707.48 and 149,156.46

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Solution

The fourth proportional to 523,133.46, 784,707.48 and 149,156.46 is: 223,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,133.46 : 784,707.48 = 149,156.46 : x
  2. Step 2: Convert to fraction form
    523,133.46/784,707.48 = 149,156.46/x
  3. Step 3: Cross multiply
    523,133.46x = 784,707.48 × 149,156.46
  4. Step 4: Simplify right side
    523,133.46x = 117,044,189,852.32
  5. Step 5: Solve for x
    x = 117,044,189,852.32/523,133.46
  6. Step 6: Final answer
    x = 223,736.77

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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.