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Finding the Fourth Proportional to 369,856.84, 510,406.60 and 208,713.82

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Solution

The fourth proportional to 369,856.84, 510,406.60 and 208,713.82 is: 288,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,856.84 : 510,406.60 = 208,713.82 : x
  2. Step 2: Convert to fraction form
    369,856.84/510,406.60 = 208,713.82/x
  3. Step 3: Cross multiply
    369,856.84x = 510,406.60 × 208,713.82
  4. Step 4: Simplify right side
    369,856.84x = 106,528,911,239.21
  5. Step 5: Solve for x
    x = 106,528,911,239.21/369,856.84
  6. Step 6: Final answer
    x = 288,027.42

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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.