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Finding the Fourth Proportional to 551,907.12, 761,638.68 and 334,112.91

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Solution

The fourth proportional to 551,907.12, 761,638.68 and 334,112.91 is: 461,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,907.12 : 761,638.68 = 334,112.91 : x
  2. Step 2: Convert to fraction form
    551,907.12/761,638.68 = 334,112.91/x
  3. Step 3: Cross multiply
    551,907.12x = 761,638.68 × 334,112.91
  4. Step 4: Simplify right side
    551,907.12x = 254,473,315,743.36
  5. Step 5: Solve for x
    x = 254,473,315,743.36/551,907.12
  6. Step 6: Final answer
    x = 461,079.97

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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.