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Finding the Fourth Proportional to 421,532.72, 632,299.08 and 172,214.72

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Solution

The fourth proportional to 421,532.72, 632,299.08 and 172,214.72 is: 258,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,532.72 : 632,299.08 = 172,214.72 : x
  2. Step 2: Convert to fraction form
    421,532.72/632,299.08 = 172,214.72/x
  3. Step 3: Cross multiply
    421,532.72x = 632,299.08 × 172,214.72
  4. Step 4: Simplify right side
    421,532.72x = 108,891,209,018.46
  5. Step 5: Solve for x
    x = 108,891,209,018.46/421,532.72
  6. Step 6: Final answer
    x = 258,322.08

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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.