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Finding the Fourth Proportional to 523,428.89, 784,714.24 and 186,277.55

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Solution

The fourth proportional to 523,428.89, 784,714.24 and 186,277.55 is: 279,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,428.89 : 784,714.24 = 186,277.55 : x
  2. Step 2: Convert to fraction form
    523,428.89/784,714.24 = 186,277.55/x
  3. Step 3: Cross multiply
    523,428.89x = 784,714.24 × 186,277.55
  4. Step 4: Simplify right side
    523,428.89x = 146,174,648,504.79
  5. Step 5: Solve for x
    x = 146,174,648,504.79/523,428.89
  6. Step 6: Final answer
    x = 279,263.62

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1.5x scale

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.