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Finding the Fourth Proportional to 413,291.31, 619,864.20 and 113,699.58

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Solution

The fourth proportional to 413,291.31, 619,864.20 and 113,699.58 is: 170,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,291.31 : 619,864.20 = 113,699.58 : x
  2. Step 2: Convert to fraction form
    413,291.31/619,864.20 = 113,699.58/x
  3. Step 3: Cross multiply
    413,291.31x = 619,864.20 × 113,699.58
  4. Step 4: Simplify right side
    413,291.31x = 70,478,299,197.04
  5. Step 5: Solve for x
    x = 70,478,299,197.04/413,291.31
  6. Step 6: Final answer
    x = 170,529.35

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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.