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Finding the Fourth Proportional to 280,777.60, 387,473.12 and 153,453.16

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Solution

The fourth proportional to 280,777.60, 387,473.12 and 153,453.16 is: 211,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,777.60 : 387,473.12 = 153,453.16 : x
  2. Step 2: Convert to fraction form
    280,777.60/387,473.12 = 153,453.16/x
  3. Step 3: Cross multiply
    280,777.60x = 387,473.12 × 153,453.16
  4. Step 4: Simplify right side
    280,777.60x = 59,458,974,679.06
  5. Step 5: Solve for x
    x = 59,458,974,679.06/280,777.60
  6. Step 6: Final answer
    x = 211,765.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.