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Finding the Fourth Proportional to 610,864.90, 842,953.44 and 338,932.06

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Solution

The fourth proportional to 610,864.90, 842,953.44 and 338,932.06 is: 467,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,864.90 : 842,953.44 = 338,932.06 : x
  2. Step 2: Convert to fraction form
    610,864.90/842,953.44 = 338,932.06/x
  3. Step 3: Cross multiply
    610,864.90x = 842,953.44 × 338,932.06
  4. Step 4: Simplify right side
    610,864.90x = 285,703,945,903.29
  5. Step 5: Solve for x
    x = 285,703,945,903.29/610,864.90
  6. Step 6: Final answer
    x = 467,703.98

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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.