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Finding the Fourth Proportional to 511,838.10, 706,339.02 and 282,395.37

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Solution

The fourth proportional to 511,838.10, 706,339.02 and 282,395.37 is: 389,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,838.10 : 706,339.02 = 282,395.37 : x
  2. Step 2: Convert to fraction form
    511,838.10/706,339.02 = 282,395.37/x
  3. Step 3: Cross multiply
    511,838.10x = 706,339.02 × 282,395.37
  4. Step 4: Simplify right side
    511,838.10x = 199,466,868,898.34
  5. Step 5: Solve for x
    x = 199,466,868,898.34/511,838.10
  6. Step 6: Final answer
    x = 389,706.96

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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.