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Finding the Fourth Proportional to 314,221.55, 471,325.94 and 77,566.28

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Solution

The fourth proportional to 314,221.55, 471,325.94 and 77,566.28 is: 116,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,221.55 : 471,325.94 = 77,566.28 : x
  2. Step 2: Convert to fraction form
    314,221.55/471,325.94 = 77,566.28/x
  3. Step 3: Cross multiply
    314,221.55x = 471,325.94 × 77,566.28
  4. Step 4: Simplify right side
    314,221.55x = 36,558,999,833.30
  5. Step 5: Solve for x
    x = 36,558,999,833.30/314,221.55
  6. Step 6: Final answer
    x = 116,347.84

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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.