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Finding the Fourth Proportional to 523,430.14, 784,716.12 and 186,278.81

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Solution

The fourth proportional to 523,430.14, 784,716.12 and 186,278.81 is: 279,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,430.14 : 784,716.12 = 186,278.81 : x
  2. Step 2: Convert to fraction form
    523,430.14/784,716.12 = 186,278.81/x
  3. Step 3: Cross multiply
    523,430.14x = 784,716.12 × 186,278.81
  4. Step 4: Simplify right side
    523,430.14x = 146,175,980,166.44
  5. Step 5: Solve for x
    x = 146,175,980,166.44/523,430.14
  6. Step 6: Final answer
    x = 279,265.50

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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.