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Finding the Fourth Proportional to 315,267.98, 473,154.14 and 165,596.52

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Solution

The fourth proportional to 315,267.98, 473,154.14 and 165,596.52 is: 248,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,267.98 : 473,154.14 = 165,596.52 : x
  2. Step 2: Convert to fraction form
    315,267.98/473,154.14 = 165,596.52/x
  3. Step 3: Cross multiply
    315,267.98x = 473,154.14 × 165,596.52
  4. Step 4: Simplify right side
    315,267.98x = 78,352,679,007.59
  5. Step 5: Solve for x
    x = 78,352,679,007.59/315,267.98
  6. Step 6: Final answer
    x = 248,527.23

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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.