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Finding the Fourth Proportional to 524,223.22, 786,335.64 and 224,680.36

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Solution

The fourth proportional to 524,223.22, 786,335.64 and 224,680.36 is: 337,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,223.22 : 786,335.64 = 224,680.36 : x
  2. Step 2: Convert to fraction form
    524,223.22/786,335.64 = 224,680.36/x
  3. Step 3: Cross multiply
    524,223.22x = 786,335.64 × 224,680.36
  4. Step 4: Simplify right side
    524,223.22x = 176,674,174,676.03
  5. Step 5: Solve for x
    x = 176,674,174,676.03/524,223.22
  6. Step 6: Final answer
    x = 337,020.89

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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.