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Finding the Fourth Proportional to 369,178.21, 509,465.93 and 199,412.34

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Solution

The fourth proportional to 369,178.21, 509,465.93 and 199,412.34 is: 275,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,178.21 : 509,465.93 = 199,412.34 : x
  2. Step 2: Convert to fraction form
    369,178.21/509,465.93 = 199,412.34/x
  3. Step 3: Cross multiply
    369,178.21x = 509,465.93 × 199,412.34
  4. Step 4: Simplify right side
    369,178.21x = 101,593,793,251.58
  5. Step 5: Solve for x
    x = 101,593,793,251.58/369,178.21
  6. Step 6: Final answer
    x = 275,189.03

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1.5x scale

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.