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Finding the Fourth Proportional to 511,866.48, 706,390.80 and 285,507.12

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Solution

The fourth proportional to 511,866.48, 706,390.80 and 285,507.12 is: 394,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,866.48 : 706,390.80 = 285,507.12 : x
  2. Step 2: Convert to fraction form
    511,866.48/706,390.80 = 285,507.12/x
  3. Step 3: Cross multiply
    511,866.48x = 706,390.80 × 285,507.12
  4. Step 4: Simplify right side
    511,866.48x = 201,679,602,902.50
  5. Step 5: Solve for x
    x = 201,679,602,902.50/511,866.48
  6. Step 6: Final answer
    x = 394,008.22

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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.