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Finding the Fourth Proportional to 346,282, 477,898.34 and 195,408.16

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Solution

The fourth proportional to 346,282, 477,898.34 and 195,408.16 is: 269,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,282 : 477,898.34 = 195,408.16 : x
  2. Step 2: Convert to fraction form
    346,282/477,898.34 = 195,408.16/x
  3. Step 3: Cross multiply
    346,282x = 477,898.34 × 195,408.16
  4. Step 4: Simplify right side
    346,282x = 93,385,235,286.45
  5. Step 5: Solve for x
    x = 93,385,235,286.45/346,282
  6. Step 6: Final answer
    x = 269,679.73

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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.