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Finding the Fourth Proportional to 413,390.16, 619,962 and 160,709.88

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Solution

The fourth proportional to 413,390.16, 619,962 and 160,709.88 is: 241,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,390.16 : 619,962 = 160,709.88 : x
  2. Step 2: Convert to fraction form
    413,390.16/619,962 = 160,709.88/x
  3. Step 3: Cross multiply
    413,390.16x = 619,962 × 160,709.88
  4. Step 4: Simplify right side
    413,390.16x = 99,634,018,624.56
  5. Step 5: Solve for x
    x = 99,634,018,624.56/413,390.16
  6. Step 6: Final answer
    x = 241,016.91

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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.