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Finding the Fourth Proportional to 434,771.56, 651,595.96 and 194,710.08

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Solution

The fourth proportional to 434,771.56, 651,595.96 and 194,710.08 is: 291,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,771.56 : 651,595.96 = 194,710.08 : x
  2. Step 2: Convert to fraction form
    434,771.56/651,595.96 = 194,710.08/x
  3. Step 3: Cross multiply
    434,771.56x = 651,595.96 × 194,710.08
  4. Step 4: Simplify right side
    434,771.56x = 126,872,301,499.28
  5. Step 5: Solve for x
    x = 126,872,301,499.28/434,771.56
  6. Step 6: Final answer
    x = 291,813.71

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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.