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Finding the Fourth Proportional to 333,103.11, 459,654.32 and 197,113.40

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Solution

The fourth proportional to 333,103.11, 459,654.32 and 197,113.40 is: 271,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,103.11 : 459,654.32 = 197,113.40 : x
  2. Step 2: Convert to fraction form
    333,103.11/459,654.32 = 197,113.40/x
  3. Step 3: Cross multiply
    333,103.11x = 459,654.32 × 197,113.40
  4. Step 4: Simplify right side
    333,103.11x = 90,604,025,203.72
  5. Step 5: Solve for x
    x = 90,604,025,203.72/333,103.11
  6. Step 6: Final answer
    x = 271,999.94

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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.