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Finding the Fourth Proportional to 516,458.50, 774,716.91 and 184,034.50

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Solution

The fourth proportional to 516,458.50, 774,716.91 and 184,034.50 is: 276,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,458.50 : 774,716.91 = 184,034.50 : x
  2. Step 2: Convert to fraction form
    516,458.50/774,716.91 = 184,034.50/x
  3. Step 3: Cross multiply
    516,458.50x = 774,716.91 × 184,034.50
  4. Step 4: Simplify right side
    516,458.50x = 142,574,639,173.40
  5. Step 5: Solve for x
    x = 142,574,639,173.40/516,458.50
  6. Step 6: Final answer
    x = 276,062.14

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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.