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Finding the Fourth Proportional to 497,319.30, 746,076.15 and 213,009.30

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Solution

The fourth proportional to 497,319.30, 746,076.15 and 213,009.30 is: 319,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,319.30 : 746,076.15 = 213,009.30 : x
  2. Step 2: Convert to fraction form
    497,319.30/746,076.15 = 213,009.30/x
  3. Step 3: Cross multiply
    497,319.30x = 746,076.15 × 213,009.30
  4. Step 4: Simplify right side
    497,319.30x = 158,921,158,458.20
  5. Step 5: Solve for x
    x = 158,921,158,458.20/497,319.30
  6. Step 6: Final answer
    x = 319,555.58

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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.