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Finding the Fourth Proportional to 313,857.95, 433,114.83 and 177,904.40

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Solution

The fourth proportional to 313,857.95, 433,114.83 and 177,904.40 is: 245,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,857.95 : 433,114.83 = 177,904.40 : x
  2. Step 2: Convert to fraction form
    313,857.95/433,114.83 = 177,904.40/x
  3. Step 3: Cross multiply
    313,857.95x = 433,114.83 × 177,904.40
  4. Step 4: Simplify right side
    313,857.95x = 77,053,031,796.68
  5. Step 5: Solve for x
    x = 77,053,031,796.68/313,857.95
  6. Step 6: Final answer
    x = 245,502.89

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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.