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Finding the Fourth Proportional to 294,210, 406,009.80 and 160,074.96

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Solution

The fourth proportional to 294,210, 406,009.80 and 160,074.96 is: 220,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,210 : 406,009.80 = 160,074.96 : x
  2. Step 2: Convert to fraction form
    294,210/406,009.80 = 160,074.96/x
  3. Step 3: Cross multiply
    294,210x = 406,009.80 × 160,074.96
  4. Step 4: Simplify right side
    294,210x = 64,992,002,494.61
  5. Step 5: Solve for x
    x = 64,992,002,494.61/294,210
  6. Step 6: Final answer
    x = 220,903.44

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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.