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Finding the Fourth Proportional to 314,865.30, 472,211.58 and 188,406.06

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Solution

The fourth proportional to 314,865.30, 472,211.58 and 188,406.06 is: 282,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,865.30 : 472,211.58 = 188,406.06 : x
  2. Step 2: Convert to fraction form
    314,865.30/472,211.58 = 188,406.06/x
  3. Step 3: Cross multiply
    314,865.30x = 472,211.58 × 188,406.06
  4. Step 4: Simplify right side
    314,865.30x = 88,967,523,274.17
  5. Step 5: Solve for x
    x = 88,967,523,274.17/314,865.30
  6. Step 6: Final answer
    x = 282,557.41

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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.