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Finding the Fourth Proportional to 313,757.04, 433,051.56 and 193,000.08

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Solution

The fourth proportional to 313,757.04, 433,051.56 and 193,000.08 is: 266,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,757.04 : 433,051.56 = 193,000.08 : x
  2. Step 2: Convert to fraction form
    313,757.04/433,051.56 = 193,000.08/x
  3. Step 3: Cross multiply
    313,757.04x = 433,051.56 × 193,000.08
  4. Step 4: Simplify right side
    313,757.04x = 83,578,985,724.12
  5. Step 5: Solve for x
    x = 83,578,985,724.12/313,757.04
  6. Step 6: Final answer
    x = 266,381.23

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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.