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Finding the Fourth Proportional to 314,598.24, 471,503.52 and 247,774.50

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Solution

The fourth proportional to 314,598.24, 471,503.52 and 247,774.50 is: 371,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,598.24 : 471,503.52 = 247,774.50 : x
  2. Step 2: Convert to fraction form
    314,598.24/471,503.52 = 247,774.50/x
  3. Step 3: Cross multiply
    314,598.24x = 471,503.52 × 247,774.50
  4. Step 4: Simplify right side
    314,598.24x = 116,826,548,916.24
  5. Step 5: Solve for x
    x = 116,826,548,916.24/314,598.24
  6. Step 6: Final answer
    x = 371,351.57

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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.