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Finding the Fourth Proportional to 566,012.16, 781,096.68 and 339,657.84

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Solution

The fourth proportional to 566,012.16, 781,096.68 and 339,657.84 is: 468,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,012.16 : 781,096.68 = 339,657.84 : x
  2. Step 2: Convert to fraction form
    566,012.16/781,096.68 = 339,657.84/x
  3. Step 3: Cross multiply
    566,012.16x = 781,096.68 × 339,657.84
  4. Step 4: Simplify right side
    566,012.16x = 265,305,611,159.97
  5. Step 5: Solve for x
    x = 265,305,611,159.97/566,012.16
  6. Step 6: Final answer
    x = 468,727.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.