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Finding the Fourth Proportional to 472,596.30, 709,000.20 and 173,070.90

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Solution

The fourth proportional to 472,596.30, 709,000.20 and 173,070.90 is: 259,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,596.30 : 709,000.20 = 173,070.90 : x
  2. Step 2: Convert to fraction form
    472,596.30/709,000.20 = 173,070.90/x
  3. Step 3: Cross multiply
    472,596.30x = 709,000.20 × 173,070.90
  4. Step 4: Simplify right side
    472,596.30x = 122,707,302,714.18
  5. Step 5: Solve for x
    x = 122,707,302,714.18/472,596.30
  6. Step 6: Final answer
    x = 259,645.08

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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.