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Finding the Fourth Proportional to 369,254.36, 509,556.30 and 208,142.84

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Solution

The fourth proportional to 369,254.36, 509,556.30 and 208,142.84 is: 287,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,254.36 : 509,556.30 = 208,142.84 : x
  2. Step 2: Convert to fraction form
    369,254.36/509,556.30 = 208,142.84/x
  3. Step 3: Cross multiply
    369,254.36x = 509,556.30 × 208,142.84
  4. Step 4: Simplify right side
    369,254.36x = 106,060,495,421.89
  5. Step 5: Solve for x
    x = 106,060,495,421.89/369,254.36
  6. Step 6: Final answer
    x = 287,228.82

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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.