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Finding the Fourth Proportional to 435,546, 652,705.92 and 346,403.88

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Solution

The fourth proportional to 435,546, 652,705.92 and 346,403.88 is: 519,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,546 : 652,705.92 = 346,403.88 : x
  2. Step 2: Convert to fraction form
    435,546/652,705.92 = 346,403.88/x
  3. Step 3: Cross multiply
    435,546x = 652,705.92 × 346,403.88
  4. Step 4: Simplify right side
    435,546x = 226,099,863,186.97
  5. Step 5: Solve for x
    x = 226,099,863,186.97/435,546
  6. Step 6: Final answer
    x = 519,118.22

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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.