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Finding the Fourth Proportional to 585,092.30, 877,573.65 and 164,410.70

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Solution

The fourth proportional to 585,092.30, 877,573.65 and 164,410.70 is: 246,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,092.30 : 877,573.65 = 164,410.70 : x
  2. Step 2: Convert to fraction form
    585,092.30/877,573.65 = 164,410.70/x
  3. Step 3: Cross multiply
    585,092.30x = 877,573.65 × 164,410.70
  4. Step 4: Simplify right side
    585,092.30x = 144,282,498,098.06
  5. Step 5: Solve for x
    x = 144,282,498,098.06/585,092.30
  6. Step 6: Final answer
    x = 246,597.84

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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.