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Finding the Fourth Proportional to 504,185.34, 695,743.02 and 277,830.84

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Solution

The fourth proportional to 504,185.34, 695,743.02 and 277,830.84 is: 383,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,185.34 : 695,743.02 = 277,830.84 : x
  2. Step 2: Convert to fraction form
    504,185.34/695,743.02 = 277,830.84/x
  3. Step 3: Cross multiply
    504,185.34x = 695,743.02 × 277,830.84
  4. Step 4: Simplify right side
    504,185.34x = 193,298,867,670.74
  5. Step 5: Solve for x
    x = 193,298,867,670.74/504,185.34
  6. Step 6: Final answer
    x = 383,388.51

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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.