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Finding the Fourth Proportional to 475,089.40, 713,037.30 and 194,807.80

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Solution

The fourth proportional to 475,089.40, 713,037.30 and 194,807.80 is: 292,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,089.40 : 713,037.30 = 194,807.80 : x
  2. Step 2: Convert to fraction form
    475,089.40/713,037.30 = 194,807.80/x
  3. Step 3: Cross multiply
    475,089.40x = 713,037.30 × 194,807.80
  4. Step 4: Simplify right side
    475,089.40x = 138,905,227,730.94
  5. Step 5: Solve for x
    x = 138,905,227,730.94/475,089.40
  6. Step 6: Final answer
    x = 292,377.03

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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.