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Finding the Fourth Proportional to 314,503.32, 471,685.32 and 101,214.12

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Solution

The fourth proportional to 314,503.32, 471,685.32 and 101,214.12 is: 151,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,503.32 : 471,685.32 = 101,214.12 : x
  2. Step 2: Convert to fraction form
    314,503.32/471,685.32 = 101,214.12/x
  3. Step 3: Cross multiply
    314,503.32x = 471,685.32 × 101,214.12
  4. Step 4: Simplify right side
    314,503.32x = 47,741,214,580.72
  5. Step 5: Solve for x
    x = 47,741,214,580.72/314,503.32
  6. Step 6: Final answer
    x = 151,798.76

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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.