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Finding the Fourth Proportional to 520,716.60, 781,074.90 and 188,214.84

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Solution

The fourth proportional to 520,716.60, 781,074.90 and 188,214.84 is: 282,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,716.60 : 781,074.90 = 188,214.84 : x
  2. Step 2: Convert to fraction form
    520,716.60/781,074.90 = 188,214.84/x
  3. Step 3: Cross multiply
    520,716.60x = 781,074.90 × 188,214.84
  4. Step 4: Simplify right side
    520,716.60x = 147,009,887,331.52
  5. Step 5: Solve for x
    x = 147,009,887,331.52/520,716.60
  6. Step 6: Final answer
    x = 282,322.26

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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.