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Finding the Fourth Proportional to 314,616.12, 471,813.03 and 101,375.52

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Solution

The fourth proportional to 314,616.12, 471,813.03 and 101,375.52 is: 152,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,616.12 : 471,813.03 = 101,375.52 : x
  2. Step 2: Convert to fraction form
    314,616.12/471,813.03 = 101,375.52/x
  3. Step 3: Cross multiply
    314,616.12x = 471,813.03 × 101,375.52
  4. Step 4: Simplify right side
    314,616.12x = 47,830,291,259.03
  5. Step 5: Solve for x
    x = 47,830,291,259.03/314,616.12
  6. Step 6: Final answer
    x = 152,027.47

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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.