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Finding the Fourth Proportional to 523,509.89, 785,233.54 and 186,532.67

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Solution

The fourth proportional to 523,509.89, 785,233.54 and 186,532.67 is: 279,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,509.89 : 785,233.54 = 186,532.67 : x
  2. Step 2: Convert to fraction form
    523,509.89/785,233.54 = 186,532.67/x
  3. Step 3: Cross multiply
    523,509.89x = 785,233.54 × 186,532.67
  4. Step 4: Simplify right side
    523,509.89x = 146,471,710,986.00
  5. Step 5: Solve for x
    x = 146,471,710,986.00/523,509.89
  6. Step 6: Final answer
    x = 279,787.86

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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.