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Finding the Fourth Proportional to 516,457.50, 774,715.41 and 184,033.50

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Solution

The fourth proportional to 516,457.50, 774,715.41 and 184,033.50 is: 276,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,457.50 : 774,715.41 = 184,033.50 : x
  2. Step 2: Convert to fraction form
    516,457.50/774,715.41 = 184,033.50/x
  3. Step 3: Cross multiply
    516,457.50x = 774,715.41 × 184,033.50
  4. Step 4: Simplify right side
    516,457.50x = 142,573,588,406.24
  5. Step 5: Solve for x
    x = 142,573,588,406.24/516,457.50
  6. Step 6: Final answer
    x = 276,060.64

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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.