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Finding the Fourth Proportional to 475,883.76, 713,787.80 and 191,373.74

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Solution

The fourth proportional to 475,883.76, 713,787.80 and 191,373.74 is: 287,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,883.76 : 713,787.80 = 191,373.74 : x
  2. Step 2: Convert to fraction form
    475,883.76/713,787.80 = 191,373.74/x
  3. Step 3: Cross multiply
    475,883.76x = 713,787.80 × 191,373.74
  4. Step 4: Simplify right side
    475,883.76x = 136,600,239,003.27
  5. Step 5: Solve for x
    x = 136,600,239,003.27/475,883.76
  6. Step 6: Final answer
    x = 287,045.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.