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Finding the Fourth Proportional to 523,329.95, 784,998 and 186,383.72

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Solution

The fourth proportional to 523,329.95, 784,998 and 186,383.72 is: 279,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,329.95 : 784,998 = 186,383.72 : x
  2. Step 2: Convert to fraction form
    523,329.95/784,998 = 186,383.72/x
  3. Step 3: Cross multiply
    523,329.95x = 784,998 × 186,383.72
  4. Step 4: Simplify right side
    523,329.95x = 146,310,849,395.06
  5. Step 5: Solve for x
    x = 146,310,849,395.06/523,329.95
  6. Step 6: Final answer
    x = 279,576.68

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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.