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Finding the Fourth Proportional to 301,709.94, 416,313.48 and 174,360.96

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Solution

The fourth proportional to 301,709.94, 416,313.48 and 174,360.96 is: 240,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,709.94 : 416,313.48 = 174,360.96 : x
  2. Step 2: Convert to fraction form
    301,709.94/416,313.48 = 174,360.96/x
  3. Step 3: Cross multiply
    301,709.94x = 416,313.48 × 174,360.96
  4. Step 4: Simplify right side
    301,709.94x = 72,588,818,033.74
  5. Step 5: Solve for x
    x = 72,588,818,033.74/301,709.94
  6. Step 6: Final answer
    x = 240,591.40

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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.