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Finding the Fourth Proportional to 315,762.80, 435,747.57 and 172,519.77

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Solution

The fourth proportional to 315,762.80, 435,747.57 and 172,519.77 is: 238,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,762.80 : 435,747.57 = 172,519.77 : x
  2. Step 2: Convert to fraction form
    315,762.80/435,747.57 = 172,519.77/x
  3. Step 3: Cross multiply
    315,762.80x = 435,747.57 × 172,519.77
  4. Step 4: Simplify right side
    315,762.80x = 75,175,070,554.46
  5. Step 5: Solve for x
    x = 75,175,070,554.46/315,762.80
  6. Step 6: Final answer
    x = 238,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.