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Finding the Fourth Proportional to 471,975.30, 708,065.48 and 172,455.42

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Solution

The fourth proportional to 471,975.30, 708,065.48 and 172,455.42 is: 258,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,975.30 : 708,065.48 = 172,455.42 : x
  2. Step 2: Convert to fraction form
    471,975.30/708,065.48 = 172,455.42/x
  3. Step 3: Cross multiply
    471,975.30x = 708,065.48 × 172,455.42
  4. Step 4: Simplify right side
    471,975.30x = 122,109,732,827.29
  5. Step 5: Solve for x
    x = 122,109,732,827.29/471,975.30
  6. Step 6: Final answer
    x = 258,720.60

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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.