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Finding the Fourth Proportional to 552,094.10, 761,872.13 and 310,386.82

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Solution

The fourth proportional to 552,094.10, 761,872.13 and 310,386.82 is: 428,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,094.10 : 761,872.13 = 310,386.82 : x
  2. Step 2: Convert to fraction form
    552,094.10/761,872.13 = 310,386.82/x
  3. Step 3: Cross multiply
    552,094.10x = 761,872.13 × 310,386.82
  4. Step 4: Simplify right side
    552,094.10x = 236,475,067,677.33
  5. Step 5: Solve for x
    x = 236,475,067,677.33/552,094.10
  6. Step 6: Final answer
    x = 428,323.84

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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.