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Finding the Fourth Proportional to 585,093.30, 877,575.15 and 164,411.70

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Solution

The fourth proportional to 585,093.30, 877,575.15 and 164,411.70 is: 246,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,093.30 : 877,575.15 = 164,411.70 : x
  2. Step 2: Convert to fraction form
    585,093.30/877,575.15 = 164,411.70/x
  3. Step 3: Cross multiply
    585,093.30x = 877,575.15 × 164,411.70
  4. Step 4: Simplify right side
    585,093.30x = 144,283,622,289.26
  5. Step 5: Solve for x
    x = 144,283,622,289.26/585,093.30
  6. Step 6: Final answer
    x = 246,599.34

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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.