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Finding the Fourth Proportional to 314,341.16, 471,507.14 and 77,683.86

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Solution

The fourth proportional to 314,341.16, 471,507.14 and 77,683.86 is: 116,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,341.16 : 471,507.14 = 77,683.86 : x
  2. Step 2: Convert to fraction form
    314,341.16/471,507.14 = 77,683.86/x
  3. Step 3: Cross multiply
    314,341.16x = 471,507.14 × 77,683.86
  4. Step 4: Simplify right side
    314,341.16x = 36,628,494,846.97
  5. Step 5: Solve for x
    x = 36,628,494,846.97/314,341.16
  6. Step 6: Final answer
    x = 116,524.66

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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.