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Finding the Fourth Proportional to 331,335.40, 497,003.10 and 213,140.20

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Solution

The fourth proportional to 331,335.40, 497,003.10 and 213,140.20 is: 319,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,335.40 : 497,003.10 = 213,140.20 : x
  2. Step 2: Convert to fraction form
    331,335.40/497,003.10 = 213,140.20/x
  3. Step 3: Cross multiply
    331,335.40x = 497,003.10 × 213,140.20
  4. Step 4: Simplify right side
    331,335.40x = 105,931,340,134.62
  5. Step 5: Solve for x
    x = 105,931,340,134.62/331,335.40
  6. Step 6: Final answer
    x = 319,710.30

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1.5x scale

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.