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Finding the Fourth Proportional to 415,302, 623,030.84 and 193,686

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Solution

The fourth proportional to 415,302, 623,030.84 and 193,686 is: 290,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,302 : 623,030.84 = 193,686 : x
  2. Step 2: Convert to fraction form
    415,302/623,030.84 = 193,686/x
  3. Step 3: Cross multiply
    415,302x = 623,030.84 × 193,686
  4. Step 4: Simplify right side
    415,302x = 120,672,351,276.24
  5. Step 5: Solve for x
    x = 120,672,351,276.24/415,302
  6. Step 6: Final answer
    x = 290,565.30

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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.