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Finding the Fourth Proportional to 369,455.76, 509,508.36 and 277,206.48

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Solution

The fourth proportional to 369,455.76, 509,508.36 and 277,206.48 is: 382,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,455.76 : 509,508.36 = 277,206.48 : x
  2. Step 2: Convert to fraction form
    369,455.76/509,508.36 = 277,206.48/x
  3. Step 3: Cross multiply
    369,455.76x = 509,508.36 × 277,206.48
  4. Step 4: Simplify right side
    369,455.76x = 141,239,019,006.17
  5. Step 5: Solve for x
    x = 141,239,019,006.17/369,455.76
  6. Step 6: Final answer
    x = 382,289.40

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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.