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Finding the Fourth Proportional to 294,240, 406,057.68 and 160,104

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Solution

The fourth proportional to 294,240, 406,057.68 and 160,104 is: 220,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,240 : 406,057.68 = 160,104 : x
  2. Step 2: Convert to fraction form
    294,240/406,057.68 = 160,104/x
  3. Step 3: Cross multiply
    294,240x = 406,057.68 × 160,104
  4. Step 4: Simplify right side
    294,240x = 65,011,458,798.72
  5. Step 5: Solve for x
    x = 65,011,458,798.72/294,240
  6. Step 6: Final answer
    x = 220,947.05

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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.