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Finding the Fourth Proportional to 523,431.14, 784,717.61 and 186,279.81

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Solution

The fourth proportional to 523,431.14, 784,717.61 and 186,279.81 is: 279,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,431.14 : 784,717.61 = 186,279.81 : x
  2. Step 2: Convert to fraction form
    523,431.14/784,717.61 = 186,279.81/x
  3. Step 3: Cross multiply
    523,431.14x = 784,717.61 × 186,279.81
  4. Step 4: Simplify right side
    523,431.14x = 146,177,047,294.45
  5. Step 5: Solve for x
    x = 146,177,047,294.45/523,431.14
  6. Step 6: Final answer
    x = 279,267.01

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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.