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Finding the Fourth Proportional to 893,241.82, 1,232,728.83 and 511,259.86

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Solution

The fourth proportional to 893,241.82, 1,232,728.83 and 511,259.86 is: 705,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,241.82 : 1,232,728.83 = 511,259.86 : x
  2. Step 2: Convert to fraction form
    893,241.82/1,232,728.83 = 511,259.86/x
  3. Step 3: Cross multiply
    893,241.82x = 1,232,728.83 × 511,259.86
  4. Step 4: Simplify right side
    893,241.82x = 630,244,769,043.76
  5. Step 5: Solve for x
    x = 630,244,769,043.76/893,241.82
  6. Step 6: Final answer
    x = 705,570.15

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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.