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Finding the Fourth Proportional to 386,956, 534,032.84 and 214,907.16

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Solution

The fourth proportional to 386,956, 534,032.84 and 214,907.16 is: 296,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,956 : 534,032.84 = 214,907.16 : x
  2. Step 2: Convert to fraction form
    386,956/534,032.84 = 214,907.16/x
  3. Step 3: Cross multiply
    386,956x = 534,032.84 × 214,907.16
  4. Step 4: Simplify right side
    386,956x = 114,767,480,991.13
  5. Step 5: Solve for x
    x = 114,767,480,991.13/386,956
  6. Step 6: Final answer
    x = 296,590.52

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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.