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Finding the Fourth Proportional to 532,871.40, 798,918.30 and 217,165.80

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Solution

The fourth proportional to 532,871.40, 798,918.30 and 217,165.80 is: 325,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,871.40 : 798,918.30 = 217,165.80 : x
  2. Step 2: Convert to fraction form
    532,871.40/798,918.30 = 217,165.80/x
  3. Step 3: Cross multiply
    532,871.40x = 798,918.30 × 217,165.80
  4. Step 4: Simplify right side
    532,871.40x = 173,497,731,754.14
  5. Step 5: Solve for x
    x = 173,497,731,754.14/532,871.40
  6. Step 6: Final answer
    x = 325,590.25

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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.