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Finding the Fourth Proportional to 406,461.92, 560,923.08 and 234,376.88

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Solution

The fourth proportional to 406,461.92, 560,923.08 and 234,376.88 is: 323,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,461.92 : 560,923.08 = 234,376.88 : x
  2. Step 2: Convert to fraction form
    406,461.92/560,923.08 = 234,376.88/x
  3. Step 3: Cross multiply
    406,461.92x = 560,923.08 × 234,376.88
  4. Step 4: Simplify right side
    406,461.92x = 131,467,401,410.39
  5. Step 5: Solve for x
    x = 131,467,401,410.39/406,461.92
  6. Step 6: Final answer
    x = 323,443.34

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1.5x scale

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.