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Finding the Fourth Proportional to 610,866.90, 842,956.20 and 338,934.06

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Solution

The fourth proportional to 610,866.90, 842,956.20 and 338,934.06 is: 467,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,866.90 : 842,956.20 = 338,934.06 : x
  2. Step 2: Convert to fraction form
    610,866.90/842,956.20 = 338,934.06/x
  3. Step 3: Cross multiply
    610,866.90x = 842,956.20 × 338,934.06
  4. Step 4: Simplify right side
    610,866.90x = 285,706,567,268.17
  5. Step 5: Solve for x
    x = 285,706,567,268.17/610,866.90
  6. Step 6: Final answer
    x = 467,706.74

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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.