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Finding the Fourth Proportional to 348,470, 480,976.08 and 205,177.76

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Solution

The fourth proportional to 348,470, 480,976.08 and 205,177.76 is: 283,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,470 : 480,976.08 = 205,177.76 : x
  2. Step 2: Convert to fraction form
    348,470/480,976.08 = 205,177.76/x
  3. Step 3: Cross multiply
    348,470x = 480,976.08 × 205,177.76
  4. Step 4: Simplify right side
    348,470x = 98,685,594,707.98
  5. Step 5: Solve for x
    x = 98,685,594,707.98/348,470
  6. Step 6: Final answer
    x = 283,196.82

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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.