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Finding the Fourth Proportional to 689,200.35, 950,957.08 and 402,665.10

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Solution

The fourth proportional to 689,200.35, 950,957.08 and 402,665.10 is: 555,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,200.35 : 950,957.08 = 402,665.10 : x
  2. Step 2: Convert to fraction form
    689,200.35/950,957.08 = 402,665.10/x
  3. Step 3: Cross multiply
    689,200.35x = 950,957.08 × 402,665.10
  4. Step 4: Simplify right side
    689,200.35x = 382,917,227,713.91
  5. Step 5: Solve for x
    x = 382,917,227,713.91/689,200.35
  6. Step 6: Final answer
    x = 555,596.39

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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.