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Finding the Fourth Proportional to 382,574.54, 527,956.91 and 210,494.76

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Solution

The fourth proportional to 382,574.54, 527,956.91 and 210,494.76 is: 290,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,574.54 : 527,956.91 = 210,494.76 : x
  2. Step 2: Convert to fraction form
    382,574.54/527,956.91 = 210,494.76/x
  3. Step 3: Cross multiply
    382,574.54x = 527,956.91 × 210,494.76
  4. Step 4: Simplify right side
    382,574.54x = 111,132,162,008.32
  5. Step 5: Solve for x
    x = 111,132,162,008.32/382,574.54
  6. Step 6: Final answer
    x = 290,485.00

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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.