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Finding the Fourth Proportional to 413,159, 619,842.18 and 117,671

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Solution

The fourth proportional to 413,159, 619,842.18 and 117,671 is: 176,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,159 : 619,842.18 = 117,671 : x
  2. Step 2: Convert to fraction form
    413,159/619,842.18 = 117,671/x
  3. Step 3: Cross multiply
    413,159x = 619,842.18 × 117,671
  4. Step 4: Simplify right side
    413,159x = 72,937,449,162.78
  5. Step 5: Solve for x
    x = 72,937,449,162.78/413,159
  6. Step 6: Final answer
    x = 176,536.03

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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.