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Finding the Fourth Proportional to 407,577.57, 611,487.86 and 194,505.45

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Solution

The fourth proportional to 407,577.57, 611,487.86 and 194,505.45 is: 291,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,577.57 : 611,487.86 = 194,505.45 : x
  2. Step 2: Convert to fraction form
    407,577.57/611,487.86 = 194,505.45/x
  3. Step 3: Cross multiply
    407,577.57x = 611,487.86 × 194,505.45
  4. Step 4: Simplify right side
    407,577.57x = 118,937,720,406.31
  5. Step 5: Solve for x
    x = 118,937,720,406.31/407,577.57
  6. Step 6: Final answer
    x = 291,816.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.