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Finding the Fourth Proportional to 470,455.52, 705,576.88 and 217,597.28

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Solution

The fourth proportional to 470,455.52, 705,576.88 and 217,597.28 is: 326,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,455.52 : 705,576.88 = 217,597.28 : x
  2. Step 2: Convert to fraction form
    470,455.52/705,576.88 = 217,597.28/x
  3. Step 3: Cross multiply
    470,455.52x = 705,576.88 × 217,597.28
  4. Step 4: Simplify right side
    470,455.52x = 153,531,609,918.89
  5. Step 5: Solve for x
    x = 153,531,609,918.89/470,455.52
  6. Step 6: Final answer
    x = 326,346.71

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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.