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Finding the Fourth Proportional to 413,900.32, 620,331.36 and 176,964.88

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Solution

The fourth proportional to 413,900.32, 620,331.36 and 176,964.88 is: 265,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,900.32 : 620,331.36 = 176,964.88 : x
  2. Step 2: Convert to fraction form
    413,900.32/620,331.36 = 176,964.88/x
  3. Step 3: Cross multiply
    413,900.32x = 620,331.36 × 176,964.88
  4. Step 4: Simplify right side
    413,900.32x = 109,776,864,682.64
  5. Step 5: Solve for x
    x = 109,776,864,682.64/413,900.32
  6. Step 6: Final answer
    x = 265,225.37

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1.5x scale

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.