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Finding the Fourth Proportional to 315,415.62, 473,121 and 78,756.71

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Solution

The fourth proportional to 315,415.62, 473,121 and 78,756.71 is: 118,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.62 : 473,121 = 78,756.71 : x
  2. Step 2: Convert to fraction form
    315,415.62/473,121 = 78,756.71/x
  3. Step 3: Cross multiply
    315,415.62x = 473,121 × 78,756.71
  4. Step 4: Simplify right side
    315,415.62x = 37,261,451,026.31
  5. Step 5: Solve for x
    x = 37,261,451,026.31/315,415.62
  6. Step 6: Final answer
    x = 118,134.45

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