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Finding the Fourth Proportional to 297,723, 410,857.74 and 163,587

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Solution

The fourth proportional to 297,723, 410,857.74 and 163,587 is: 225,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,723 : 410,857.74 = 163,587 : x
  2. Step 2: Convert to fraction form
    297,723/410,857.74 = 163,587/x
  3. Step 3: Cross multiply
    297,723x = 410,857.74 × 163,587
  4. Step 4: Simplify right side
    297,723x = 67,210,985,113.38
  5. Step 5: Solve for x
    x = 67,210,985,113.38/297,723
  6. Step 6: Final answer
    x = 225,750.06

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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.