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Finding the Fourth Proportional to 475,124.14, 712,611.94 and 155,273.46

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Solution

The fourth proportional to 475,124.14, 712,611.94 and 155,273.46 is: 232,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,124.14 : 712,611.94 = 155,273.46 : x
  2. Step 2: Convert to fraction form
    475,124.14/712,611.94 = 155,273.46/x
  3. Step 3: Cross multiply
    475,124.14x = 712,611.94 × 155,273.46
  4. Step 4: Simplify right side
    475,124.14x = 110,649,721,561.11
  5. Step 5: Solve for x
    x = 110,649,721,561.11/475,124.14
  6. Step 6: Final answer
    x = 232,885.92

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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.