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Finding the Fourth Proportional to 511,946.12, 706,485.11 and 282,503.36

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Solution

The fourth proportional to 511,946.12, 706,485.11 and 282,503.36 is: 389,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,946.12 : 706,485.11 = 282,503.36 : x
  2. Step 2: Convert to fraction form
    511,946.12/706,485.11 = 282,503.36/x
  3. Step 3: Cross multiply
    511,946.12x = 706,485.11 × 282,503.36
  4. Step 4: Simplify right side
    511,946.12x = 199,584,417,718.67
  5. Step 5: Solve for x
    x = 199,584,417,718.67/511,946.12
  6. Step 6: Final answer
    x = 389,854.34

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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.