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Finding the Fourth Proportional to 475,897.44, 713,912.04 and 160,444.56

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Solution

The fourth proportional to 475,897.44, 713,912.04 and 160,444.56 is: 240,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,897.44 : 713,912.04 = 160,444.56 : x
  2. Step 2: Convert to fraction form
    475,897.44/713,912.04 = 160,444.56/x
  3. Step 3: Cross multiply
    475,897.44x = 713,912.04 × 160,444.56
  4. Step 4: Simplify right side
    475,897.44x = 114,543,303,136.50
  5. Step 5: Solve for x
    x = 114,543,303,136.50/475,897.44
  6. Step 6: Final answer
    x = 240,689.05

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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.