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Finding the Fourth Proportional to 497,805.19, 746,708.18 and 213,311.25

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Solution

The fourth proportional to 497,805.19, 746,708.18 and 213,311.25 is: 319,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,805.19 : 746,708.18 = 213,311.25 : x
  2. Step 2: Convert to fraction form
    497,805.19/746,708.18 = 213,311.25/x
  3. Step 3: Cross multiply
    497,805.19x = 746,708.18 × 213,311.25
  4. Step 4: Simplify right side
    497,805.19x = 159,281,255,261.03
  5. Step 5: Solve for x
    x = 159,281,255,261.03/497,805.19
  6. Step 6: Final answer
    x = 319,967.04

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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.