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Finding the Fourth Proportional to 471,848.16, 707,273.73 and 338,656.23

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Solution

The fourth proportional to 471,848.16, 707,273.73 and 338,656.23 is: 507,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,848.16 : 707,273.73 = 338,656.23 : x
  2. Step 2: Convert to fraction form
    471,848.16/707,273.73 = 338,656.23/x
  3. Step 3: Cross multiply
    471,848.16x = 707,273.73 × 338,656.23
  4. Step 4: Simplify right side
    471,848.16x = 239,522,654,979.84
  5. Step 5: Solve for x
    x = 239,522,654,979.84/471,848.16
  6. Step 6: Final answer
    x = 507,626.55

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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.