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Finding the Fourth Proportional to 333,442.40, 499,823.40 and 164,703.20

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Solution

The fourth proportional to 333,442.40, 499,823.40 and 164,703.20 is: 246,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,442.40 : 499,823.40 = 164,703.20 : x
  2. Step 2: Convert to fraction form
    333,442.40/499,823.40 = 164,703.20/x
  3. Step 3: Cross multiply
    333,442.40x = 499,823.40 × 164,703.20
  4. Step 4: Simplify right side
    333,442.40x = 82,322,513,414.88
  5. Step 5: Solve for x
    x = 82,322,513,414.88/333,442.40
  6. Step 6: Final answer
    x = 246,886.76

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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.