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Finding the Fourth Proportional to 315,507.36, 473,262.24 and 78,850.28

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Solution

The fourth proportional to 315,507.36, 473,262.24 and 78,850.28 is: 118,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,507.36 : 473,262.24 = 78,850.28 : x
  2. Step 2: Convert to fraction form
    315,507.36/473,262.24 = 78,850.28/x
  3. Step 3: Cross multiply
    315,507.36x = 473,262.24 × 78,850.28
  4. Step 4: Simplify right side
    315,507.36x = 37,316,860,137.43
  5. Step 5: Solve for x
    x = 37,316,860,137.43/315,507.36
  6. Step 6: Final answer
    x = 118,275.72

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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.