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Finding the Fourth Proportional to 524,409.18, 786,614.49 and 224,695.50

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Solution

The fourth proportional to 524,409.18, 786,614.49 and 224,695.50 is: 337,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,409.18 : 786,614.49 = 224,695.50 : x
  2. Step 2: Convert to fraction form
    524,409.18/786,614.49 = 224,695.50/x
  3. Step 3: Cross multiply
    524,409.18x = 786,614.49 × 224,695.50
  4. Step 4: Simplify right side
    524,409.18x = 176,748,736,137.80
  5. Step 5: Solve for x
    x = 176,748,736,137.80/524,409.18
  6. Step 6: Final answer
    x = 337,043.56

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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.