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Finding the Fourth Proportional to 523,290.75, 784,437.89 and 168,055.66

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Solution

The fourth proportional to 523,290.75, 784,437.89 and 168,055.66 is: 251,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,290.75 : 784,437.89 = 168,055.66 : x
  2. Step 2: Convert to fraction form
    523,290.75/784,437.89 = 168,055.66/x
  3. Step 3: Cross multiply
    523,290.75x = 784,437.89 × 168,055.66
  4. Step 4: Simplify right side
    523,290.75x = 131,829,227,332.96
  5. Step 5: Solve for x
    x = 131,829,227,332.96/523,290.75
  6. Step 6: Final answer
    x = 251,923.48

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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.