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Finding the Fourth Proportional to 345,221.84, 476,395.08 and 194,298.32

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Solution

The fourth proportional to 345,221.84, 476,395.08 and 194,298.32 is: 268,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,221.84 : 476,395.08 = 194,298.32 : x
  2. Step 2: Convert to fraction form
    345,221.84/476,395.08 = 194,298.32/x
  3. Step 3: Cross multiply
    345,221.84x = 476,395.08 × 194,298.32
  4. Step 4: Simplify right side
    345,221.84x = 92,562,763,700.27
  5. Step 5: Solve for x
    x = 92,562,763,700.27/345,221.84
  6. Step 6: Final answer
    x = 268,125.46

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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.