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Finding the Fourth Proportional to 413,610.23, 619,543.49 and 189,159.64

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Solution

The fourth proportional to 413,610.23, 619,543.49 and 189,159.64 is: 283,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610.23 : 619,543.49 = 189,159.64 : x
  2. Step 2: Convert to fraction form
    413,610.23/619,543.49 = 189,159.64/x
  3. Step 3: Cross multiply
    413,610.23x = 619,543.49 × 189,159.64
  4. Step 4: Simplify right side
    413,610.23x = 117,192,621,038.09
  5. Step 5: Solve for x
    x = 117,192,621,038.09/413,610.23
  6. Step 6: Final answer
    x = 283,340.72

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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.