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Finding the Fourth Proportional to 511,848.60, 706,349.12 and 282,420.20

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Solution

The fourth proportional to 511,848.60, 706,349.12 and 282,420.20 is: 389,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,848.60 : 706,349.12 = 282,420.20 : x
  2. Step 2: Convert to fraction form
    511,848.60/706,349.12 = 282,420.20/x
  3. Step 3: Cross multiply
    511,848.60x = 706,349.12 × 282,420.20
  4. Step 4: Simplify right side
    511,848.60x = 199,487,259,740.22
  5. Step 5: Solve for x
    x = 199,487,259,740.22/511,848.60
  6. Step 6: Final answer
    x = 389,738.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.